References_old.bib

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%% http://bibdesk.sourceforge.net/

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@comment{jabref-meta: databaseType:bibtex;}


@preprint{hurri2023,
  title= {On the Weighted Inequality Between the Gagliardo and Sobolev Seminorms},
  author={Hurri-Syrj{\"a}nen, Ritva and Mart\'inez-Perales, Javier and P\'erez, Carlos and V{\"a}h{\"a}kangas, Antti},
  journal={Preprint},
  year={2023}
}



@article{martinez2023,
  title={Remarks on vector-valued Gagliardo and Poincar\'e-Sobolev type inequalities with weights},
  author={Mart\'inez-Perales, Javier and P\'erez, Carlos},
  journal={Potentials and Partial Differential Equations. The Legacy of David R. Adams}, 
  year={2023}
}


 @article{martinez2020quantitative, 
year = {2022}, 
title = {{Quantitative John–Nirenberg inequalities at different scales}}, 
author = {Mart\'inez-Perales, Javier C. and Rela, Ezequiel and Rivera-R\'ios, Israel P}, 
journal = {Revista Matemática Complutense}, 
issn = {1139-1138}, 
doi = {10.1007/s13163-022-00427-0}, 
abstract = {}, 
pages = {1--35}
}



@article{kosz2022maximal,
  title={Maximal operators on the infinite-dimensional torus},
  author={Kosz, Dariusz and Mart{\'\i}nez-Perales, Javier C and Paternostro, Victoria and Rela, Ezequiel and Roncal, Luz},
  journal={\href{https://rdcu.be/cKk2Y}{Mathematische Annalen}},
  pages={1--39},
  year={2022},
  publisher={Springer Berlin Heidelberg}
}

@article{hurri2022bbm,
  title={On the BBM-phenomenon in fractional Poincare-Sobolev inequalities with weights},
  author={Hurri-Syrj{\"a}nen, Ritva and Mart\'inez-Perales, Javier and P\'erez, Carlos and V{\"a}h{\"a}kangas, Antti},
journal = {International Mathematics Research Notices},
    year = {2022},
    month = {09},
    issn = {1073-7928},
    doi = {10.1093/imrn/rnac246},
    url = {https://doi.org/10.1093/imrn/rnac246},
    note = {rnac246}
}





@misc{HMPV2022,
      title={Degenerate fractional Poincar\'e-Sobolev inequalities with double extra gain}, 
      author={Ritva Hurri-Syrj\"anen and Javier C. Mart\'inez-Perales and Carlos P\'erez and Antti V. V\"ah\"akangas},
      year={2022},
      eprint={2201.11712},
      archivePrefix={arXiv},
      primaryClass={math.CA}
}


@misc{Kosz2021,
      title={Maximal operators on the infinite-dimensional torus}, 
      author={Darius Kosz and Javier Mart\'inez Perales and Victoria Paternostro and Ezequiel Rela and Luz Roncal},
      year={2021},
      eprint={2109.04811},
      archivePrefix={arXiv},
      primaryClass={math.CA}
}

@article{Christ1990,
	Author = {Christ, Michael},
	Date-Added = {2020-10-26 14:34:24 +0100},
	Date-Modified = {2020-10-26 14:34:56 +0100},
	Journal = {Colloquium Mathematicum},
	Pages = {601-628},
	Title = {A $T(b)$ theorem with remarks on analytic capacity and the Cauchy integral},
	Volume = {60},
	Year = {1990}}

@article{Franchi2000,
	Author = {Franchi, Bruno and Haj\l{}asz, Piotr},
	Date-Added = {2020-10-26 12:21:26 +0100},
	Date-Modified = {2020-10-26 12:22:51 +0100},
	Journal = {Annales Polonici Mathematici},
	Pages = {97-103},
	Title = {How to get rid of one of the weights in a two-weight Poincar\'e inequality?},
	Volume = {74},
	Year = {2000}}

@article{Brezis2002,
	Abstract = {A criterion for a function f ∈ Lp to belong to W1,p (p > 1) or to BV (p = 1) is given. Various integral conditions under which a measurable function is constant are discussed.},
	Author = {Ha\"im Br\'ezis},
	Date-Added = {2020-09-20 17:37:35 +0200},
	Date-Modified = {2020-09-20 17:37:50 +0200},
	Day = {1},
	Doi = {http://sci-hub.tw/10.1070/RM2002v057n04ABEH000533},
	Issn = {0036-0279},
	Journal = {Russian Mathematical Surveys},
	Language = {English (US)},
	Month = jul,
	Number = {4},
	Pages = {693--708},
	Publisher = {IOP Publishing Ltd.},
	Title = {How to recognize constant functions. Connections with Sobolev spaces},
	Volume = {57},
	Year = {2002},
	Bdsk-Url-1 = {http://sci-hub.tw/10.1070/RM2002v057n04ABEH000533}}

@book{Mazya1985,
	Author = {Maz'ya, Vladimir},
	Date-Added = {2020-09-20 12:49:10 +0200},
	Date-Modified = {2020-09-20 12:50:22 +0200},
	Edition = {1},
	Publisher = {Springer-Verlag Berlin Heidelberg},
	Title = {Sobolev Spaces},
	Year = {1985}}

@article{Kolyada2005,
	Author = {Kolyada, Viktor and Lerner, Andrei},
	Date-Added = {2020-09-19 11:29:24 +0200},
	Date-Modified = {2020-09-19 11:29:52 +0200},
	Doi = {10.4064/sm171-1-1},
	Journal = {Studia Math.},
	Month = {01},
	Title = {On limiting embeddings of Besov spaces},
	Volume = {171},
	Year = {2005},
	Bdsk-Url-1 = {https://doi.org/10.4064/sm171-1-1}}

@phdthesis{Shanmugalingam1999,
	Author = {Shanmugalingam, Nageswari},
	Date-Added = {2020-09-18 20:35:27 +0200},
	Date-Modified = {2020-09-18 20:36:13 +0200},
	School = {University of Michigan},
	Title = {Newtonian spaces: an extension of Sobolev spaces to metric measure spaces},
	Year = {1999}}

@article{Shanmugalingam2000,
	Abstract = {This paper studies a possible definition of Sobolev spaces in abstract metric spaces, and answers in the affirmative the question whether this definition yields a Banach space. The paper also explores the relationship between this definition and the Hajlasz spaces. For specialized metric spaces the Sobolev embedding theorems are proven. Different versions of capacities are also explored, and these various definitions are compared. The main tool used in this paper is the concept of moduli of path families.},
	Author = {Shanmugalingam, Nageswari},
	Date-Added = {2020-09-18 20:34:42 +0200},
	Date-Modified = {2020-09-18 20:34:42 +0200},
	Journal = {Revista Matem{\'a}tica Iberoamericana},
	Keywords = {Espacios de Sobolev; Espacios de Banach; Sobolev space; metric measure space; doubling space; gradient; Poincar{\'e} inequality; embedding theorem; capacity; path family},
	Language = {eng},
	Number = {2},
	Pages = {243-279},
	Title = {Newtonian spaces: An extension of Sobolev spaces to metric measure spaces.},
	Url = {http://eudml.org/doc/39609},
	Volume = {16},
	Year = {2000},
	Bdsk-Url-1 = {http://eudml.org/doc/39609}}

@article{Heinonen1998,
	Author = {Heinonen, Juha and Koskela, Pekka},
	Date-Added = {2020-09-18 20:18:31 +0200},
	Date-Modified = {2020-09-18 20:18:58 +0200},
	Doi = {10.1007/BF02392747},
	Fjournal = {Acta Mathematica},
	Journal = {Acta Math.},
	Number = {1},
	Pages = {1--61},
	Publisher = {Institut Mittag-Leffler},
	Title = {Quasiconformal maps in metric spaces with controlled geometry},
	Url = {https://doi.org/10.1007/BF02392747},
	Volume = {181},
	Year = {1998},
	Bdsk-Url-1 = {https://doi.org/10.1007/BF02392747}}

@misc{Luda2019,
	Archiveprefix = {arXiv},
	Author = {Korobenko, Lyudmila},
	Date-Added = {2020-07-11 17:43:44 +0200},
	Date-Modified = {2020-07-11 17:44:15 +0200},
	Eprint = {1906.04088},
	Primaryclass = {math.AP},
	Title = {Orlicz Sobolev Inequalities and the Doubling Condition},
	Year = {2019},
	Bdsk-File-1 = {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}}

@misc{Kosz2020,
	Archiveprefix = {arXiv},
	Author = {Kosz, Dariusz},
	Date-Added = {2020-07-11 17:39:35 +0200},
	Date-Modified = {2020-07-11 17:40:15 +0200},
	Eprint = {2003.01633},
	Primaryclass = {math.CA},
	Title = {On differentiation of integrals in the infinite-dimensional torus},
	Year = {2019},
	Bdsk-File-1 = {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}}

@misc{Hytoenen2018,
	Archiveprefix = {arXiv},
	Author = {Hyt\"onen, Tuomas P.},
	Date-Added = {2020-07-11 17:33:25 +0200},
	Date-Modified = {2020-07-11 17:34:12 +0200},
	Eprint = {1804.11167},
	Primaryclass = {math.CA},
	Title = {The $L^p$-to-$L^q$ boundedness of commutators with applications to the Jacobian operator},
	Year = {2018},
	Bdsk-File-1 = {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}}

@article{Azzam2019,
	Author = {Azzam, Jonas and Hofmann, Steve and Martell, Jos\'e Mar\'ia and Mourgoglou, Mihalis and Tolsa, Xavier},
	Doi = {https://doi.org/10.1007/s00222-020-00984-5},
	Journal = {Invent. Math.},
	Title = {Harmonic measure and quantitative connectivity: geometric characterization of the $L^p$ solvability of the Dirichlet problem},
	Year = {2020},
	Bdsk-File-1 = {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}}

@book{villani2016,
	Author = {Villani, C\'edric},
	Date-Added = {2020-06-16 10:13:05 +0200},
	Date-Modified = {2020-07-10 12:36:43 +0200},
	Isbn = {9783662501801},
	Publisher = {Springer Berlin Heidelberg},
	Series = {Grundlehren der mathematischen Wissenschaften},
	Title = {Optimal Transport: Old and New},
	Url = {https://books.google.es/books?id=5p8SDAEACAAJ},
	Year = {2016},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://books.google.es/books?id=5p8SDAEACAAJ}}

@article{Ho2014,
	Author = {Ho, Kwok-Pun},
	Date-Added = {2020-05-27 10:59:09 +0200},
	Date-Modified = {2020-05-27 10:59:58 +0200},
	Doi = {10.11650/tjm.18.2014.3618},
	Fjournal = {Taiwanese Journal of Mathematics},
	Journal = {Taiwanese J. Math.},
	Month = {08},
	Number = {4},
	Pages = {1107--1118},
	Publisher = {Mathematical Society of the Republic of China},
	Title = {John-Nirenberg inequalities on Lebesgue spaces with variable exponents},
	Url = {https://doi.org/10.11650/tjm.18.2014.3618},
	Volume = {18},
	Year = {2014},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.11650/tjm.18.2014.3618}}

@book{Cruz-Uribe2013-2,
	Author = {Cruz-Uribe, David and Fiorenza, Alberto},
	Date-Added = {2020-05-25 17:27:36 +0200},
	Date-Modified = {2020-05-25 17:35:23 +0200},
	Publisher = {Birkhauser},
	Series = {Applied and Numerical Harmonic Analysis},
	Title = {Variable Lebesgue Spaces: Foundations and Harmonic Analysis},
	Year = {2013},
	Bdsk-File-1 = {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},
	Bdsk-File-2 = {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}}

@article{Cianchi1996-2,
	Abstract = {We associate with any Young function A a Young function B having the property that, for any sufficiently smooth subset G of Rn, LB(G) is the smallest Orlicz space into which the Orlicz-Sobolev space W1,A(G) is continuously embedded.},
	Author = {Andrea Cianchi},
	Date-Added = {2020-05-22 19:57:55 +0200},
	Date-Modified = {2020-07-11 17:05:33 +0200},
	Issn = {00222518, 19435258},
	Journal = {Indiana U. Math. J.},
	Number = {1},
	Pages = {39--65},
	Publisher = {Indiana University Mathematics Department},
	Title = {A Sharp Embedding Theorem for Orlicz-Sobolev Spaces},
	Url = {http://www.jstor.org/stable/24899146},
	Volume = {45},
	Year = {1996},
	Bdsk-Url-1 = {http://www.jstor.org/stable/24899146}}

@article{Cianchi1996,
	Author = {Cianchi, Andrea},
	Date-Added = {2020-05-22 19:56:28 +0200},
	Date-Modified = {2020-07-11 17:05:12 +0200},
	Journal = {Ann. Scuola. Norm.-Sci.},
	Language = {en},
	Mrnumber = {1440034},
	Number = {3},
	Pages = {575-608},
	Publisher = {Scuola normale superiore},
	Title = {Continuity properties of functions from Orlicz-Sobolev spaces and embedding theorems},
	Url = {http://www.numdam.org/item/ASNSP_1996_4_23_3_575_0},
	Volume = {Ser. 4, 23},
	Year = {1996},
	Zbl = {0877.46023},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {http://www.numdam.org/item/ASNSP_1996_4_23_3_575_0}}

@article{MacManus2002,
	Author = {MacManus, Paul and P{\'e}rez, Carlos},
	Date-Added = {2020-05-22 19:55:19 +0200},
	Date-Modified = {2020-07-11 17:45:09 +0200},
	Journal = {Trans. Amer. Math. Soc.},
	Number = {5},
	Pages = {1997--2012},
	Title = {Trudinger inequalities without derivatives},
	Volume = {354},
	Year = {2002},
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@article{Caruso2001,
	Author = {Caruso, Andrea},
	Date-Added = {2020-05-22 17:47:55 +0200},
	Date-Modified = {2020-07-11 17:02:23 +0200},
	Journal = {Matematiche (Catania)},
	Number = {1},
	Pages = {183--194},
	Title = {Two properties of norms in Orlicz spaces},
	Volume = {56},
	Year = {2001},
	Bdsk-File-1 = {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}}

@phdthesis{TesisHeikkinen,
	Author = {Heikkinen, Toni},
	Date-Added = {2020-05-22 17:37:42 +0200},
	Date-Modified = {2020-05-22 17:38:05 +0200},
	Title = {Self-improving properties of generalized Orlicz-Poincar\'e inequalities},
	Year = {2006},
	Bdsk-File-1 = {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}}

@book{Krasnoselskii1961,
	Author = {Krasnosel'skii, Mark Alexandrovich and Rutickii, Yakov Bronislavovich},
	Date-Added = {2020-05-22 13:43:39 +0200},
	Date-Modified = {2020-10-02 12:23:01 +0200},
	Publisher = {Noordhoff, Groningen, The Netherlands},
	Title = {Convex Functions and Orlicz Spaces},
	Year = {1961},
	Bdsk-File-1 = {YnBsaXN0MDDSAQIDBFxyZWxhdGl2ZVBhdGhZYWxpYXNEYXRhXxAhUmVmZXJlbmNpYXMvS3Jhc25vc2Vsc2tpaTE5NjEucGRmTxEBigAAAAABigACAAACSEQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEJEAAH/////FUtyYXNub3NlbHNraWkxOTYxLnBkZgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP////8AAAAAAAAAAAAAAAAAAQADAAAKIGN1AAAAAAAAAAAAAAAAAAtSZWZlcmVuY2lhcwAAAgBJLzpVc2VyczpqbWFydGluZXo6RHJvcGJveDpWZXJiVGVYOlRlc2lzOlJlZmVyZW5jaWFzOktyYXNub3NlbHNraWkxOTYxLnBkZgAADgAsABUASwByAGEAcwBuAG8AcwBlAGwAcwBrAGkAaQAxADkANgAxAC4AcABkAGYADwAGAAIASABEABIAR1VzZXJzL2ptYXJ0aW5lei9Ecm9wYm94L1ZlcmJUZVgvVGVzaXMvUmVmZXJlbmNpYXMvS3Jhc25vc2Vsc2tpaTE5NjEucGRmAAATAAEvAAAVAAIAEP//AAAACAANABoAJABIAAAAAAAAAgEAAAAAAAAABQAAAAAAAAAAAAAAAAAAAdY=},
	Bdsk-Url-1 = {https://doi.org/10.2307/3613435}}

@article{Karagulyan2002,
	Abstract = {In this paper we study the properties of the maximal operator generated by the Calder{\'o}n--Zygmund operator. In particular, we refine Hunt's inequality.},
	Author = {Karagulyan, Grigori A.},
	Da = {2002/03/01},
	Date-Added = {2020-05-18 20:14:19 +0200},
	Date-Modified = {2020-07-11 17:37:57 +0200},
	Doi = {10.1023/A:1014850924850},
	Id = {Karagulyan2002},
	Isbn = {1573-8876},
	Journal = {Math. Notes},
	Number = {3},
	Pages = {362--373},
	Title = {Exponential Estimates of the Calder\'on--Zygmund Operator and Related Questions about Fourier Series},
	Ty = {JOUR},
	Url = {https://doi.org/10.1023/A:1014850924850},
	Volume = {71},
	Year = {2002},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.1023/A:1014850924850}}

@article{Hajlasz1998,
	Abstract = {The paper proves several weighted imbedding theorems for domains with fractal boundaries. The weights considered are distances to the boundary to certain powers, and the domains are so-called s-John domains. The paper also proves, in the general setting, that the existence of an imbedding implies compactness of the imbedding for lower exponents. Moreover, following Maz'ya, the paper reformulates the imbedding theorems in the language of local isoperimetric and capacity estimates.},
	Author = {Haj\l{}asz, Piotrasz, Piotr and Koskela, Pekka},
	Date-Added = {2020-05-15 18:09:21 +0200},
	Date-Modified = {2020-07-11 17:23:48 +0200},
	Doi = {10.1112/S0024610798006346},
	Eprint = {https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/S0024610798006346},
	Journal = {J. Lond. Math. Soc.},
	Number = {2},
	Pages = {425-450},
	Title = {Isoperimetric Inequalities and Imbedding Theorems in Irregular Domains},
	Url = {https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024610798006346},
	Volume = {58},
	Year = {1998},
	Bdsk-File-1 = {YnBsaXN0MDDSAQIDBFxyZWxhdGl2ZVBhdGhZYWxpYXNEYXRhXxAbUmVmZXJlbmNpYXMvSGFqbGFzejE5OTgucGRmTxEBcgAAAAABcgACAAACSEQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEJEAAH/////D0hhamxhc3oxOTk4LnBkZgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP////8AAAAAAAAAAAAAAAAAAQADAAAKIGN1AAAAAAAAAAAAAAAAAAtSZWZlcmVuY2lhcwAAAgBDLzpVc2VyczpqbWFydGluZXo6RHJvcGJveDpWZXJiVGVYOlRlc2lzOlJlZmVyZW5jaWFzOkhhamxhc3oxOTk4LnBkZgAADgAgAA8ASABhAGoAbABhAHMAegAxADkAOQA4AC4AcABkAGYADwAGAAIASABEABIAQVVzZXJzL2ptYXJ0aW5lei9Ecm9wYm94L1ZlcmJUZVgvVGVzaXMvUmVmZXJlbmNpYXMvSGFqbGFzejE5OTgucGRmAAATAAEvAAAVAAIAEP//AAAACAANABoAJABCAAAAAAAAAgEAAAAAAAAABQAAAAAAAAAAAAAAAAAAAbg=},
	Bdsk-Url-1 = {https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024610798006346},
	Bdsk-Url-2 = {https://doi.org/10.1112/S0024610798006346}}

@article{Mazya1964,
	Author = {Maz'ya, Vladimir},
	Date-Added = {2020-05-15 18:05:34 +0200},
	Date-Modified = {2020-05-15 18:07:04 +0200},
	Journal = {Akad. Nauk.},
	Pages = {1145--1172},
	Title = {A theorem on the multidimensional Schr\"odinger operator},
	Volume = {28},
	Year = {1964}}

@article{Burkholder1970,
	Author = {Burkholder, Donald Lyman and Gundy, Richard F.},
	Date-Added = {2020-05-14 18:20:31 +0200},
	Date-Modified = {2020-07-10 11:57:49 +0200},
	Doi = {10.1007/BF02394573},
	Fjournal = {Acta Mathematica},
	Journal = {Acta Math.},
	Pages = {249--304},
	Publisher = {Institut Mittag-Leffler},
	Title = {Extrapolation and interpolation of quasi-linear operators on martingales},
	Url = {https://doi.org/10.1007/BF02394573},
	Volume = {124},
	Year = {1970},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.1007/BF02394573}}

@book{Zaanen1967,
	Author = {Zaanen, Adriaan C.},
	Date-Added = {2020-05-13 22:08:40 +0200},
	Date-Modified = {2020-07-10 12:39:11 +0200},
	Edition = {2nd rev. ed.},
	Publisher = {North Holland, Amsterdam; Interscience, New York},
	Title = {Integration},
	Year = {1967}}

@book{Okada2008,
	Author = {Okada, Susumu and Ricker, Wener J. and S\'anchez P\'erez, Enrique A.},
	Date-Added = {2020-05-13 19:57:49 +0200},
	Date-Modified = {2020-05-13 20:05:00 +0200},
	Publisher = {Birkh\"auser Basel},
	Series = {Operator Theory: Advances and Applications},
	Title = {Optimal Domain and Integral Extension of Operators},
	Volume = {180},
	Year = {2008},
	Bdsk-File-1 = {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}}

@incollection{Garofalo2019,
	Author = {Garofalo, Nicola},
	Booktitle = {New developments in the analysis of nonlocal operators},
	Date-Added = {2020-05-12 16:14:03 +0200},
	Date-Modified = {2020-05-12 16:14:11 +0200},
	Doi = {10.1090/conm/723/14569},
	Mrclass = {35R11 (35S05)},
	Mrnumber = {3916700},
	Mrreviewer = {Vincenzo Ambrosio},
	Pages = {1--135},
	Publisher = {Amer. Math. Soc., Providence, RI},
	Series = {Contemp. Math.},
	Title = {Fractional thoughts},
	Url = {https://doi.org/10.1090/conm/723/14569},
	Volume = {723},
	Year = {2019},
	Bdsk-Url-1 = {https://doi.org/10.1090/conm/723/14569}}

@article{TEMAT,
	Author = {Accomazzo Scotti, Natalia and Baena Miret, Sergio and Becerra Tom\'e, Alberto and Mart\'inez-Perales, Javier C. and Rodr\'iguez Abella, \'Alvaro and Soler Albaladejo, Isabel},
	Date-Added = {2020-05-11 18:29:06 +0200},
	Date-Modified = {2020-05-17 22:53:37 +0200},
	Journal = {TEMat: monogr\'aficos, 1},
	Year = {2020},
	Pages = {47--60},
	Title = {Four different approaches to the fractional Laplacian}}
	

@article{TEMAT2,
	Author = {Mart\'inez-Perales, Javier C.},
	Journal = {TEMat, 1},
	Year = {2017},
	Pages = {15--23},
	Title = {La integral de Henstock-Kurzweil y el segundo teorema fundamental del c\'alculo}}	

@book{Petersen1977,
	Author = {Petersen, Karl E.},
	Date-Added = {2020-05-11 17:14:27 +0200},
	Date-Modified = {2020-07-10 12:33:34 +0200},
	Isbn = {9780521215121},
	Lccn = {lc76046860},
	Publisher = {Cambridge University Press},
	Series = {London Mathematical Society lecture note series and Cassels, J.W.S.},
	Title = {Brownian Motion, Hardy Spaces and Bounded Mean Oscillation},
	Url = {https://books.google.es/books?id=O2wqDnJ8hFwC},
	Year = {1977},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://books.google.es/books?id=O2wqDnJ8hFwC}}

@article{Kolmogorov1925,
	Author = {Kolmogorov, Andr\'ei},
	Date-Added = {2020-05-08 16:41:22 +0200},
	Date-Modified = {2020-07-11 17:38:41 +0200},
	Journal = {Fund. Math.},
	Pages = {24--29},
	Title = {Sur les fonctions harmoniques conjugu\'ees et les s\'eries de Fourier},
	Volume = {7},
	Year = {1925},
	Bdsk-File-1 = {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}}

@article{Coifman1980,
	Author = {Coifman, Ronald and Rochberg, Richard},
	Date-Added = {2020-05-08 12:22:21 +0200},
	Date-Modified = {2020-07-11 17:07:28 +0200},
	Doi = {10.2307/2043245},
	Journal = {Proc. Amer. Math. Soc.},
	Month = {02},
	Pages = {249-249},
	Title = {Another Characterization of $\mathrm{BMO}$},
	Volume = {79},
	Year = {1980},
	Bdsk-File-1 = {YnBsaXN0MDDSAQIDBFxyZWxhdGl2ZVBhdGhZYWxpYXNEYXRhXxA6Li4vLi4vLi4vRG93bmxvYWRzL0Fub3RoZXJfQ2hhcmFjdGVyaXphdGlvbl9vZl9CTU8gKDEpLnBkZk8RAaAAAAAAAaAAAgAAAkhEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABCRAAB/////x9Bbm90aGVyX0NoYXJhY3RlcmkjRkZGRkZGRkYucGRmAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD/////AAAAAAAAAAAAAAAAAAMAAgAACiBjdQAAAAAAAAAAAAAAAAAJRG93bmxvYWRzAAACAEMvOlVzZXJzOmptYXJ0aW5lejpEb3dubG9hZHM6QW5vdGhlcl9DaGFyYWN0ZXJpemF0aW9uX29mX0JNTyAoMSkucGRmAAAOAFAAJwBBAG4AbwB0AGgAZQByAF8AQwBoAGEAcgBhAGMAdABlAHIAaQB6AGEAdABpAG8AbgBfAG8AZgBfAEIATQBPACAAKAAxACkALgBwAGQAZgAPAAYAAgBIAEQAEgBBVXNlcnMvam1hcnRpbmV6L0Rvd25sb2Fkcy9Bbm90aGVyX0NoYXJhY3Rlcml6YXRpb25fb2ZfQk1PICgxKS5wZGYAABMAAS8AABUAAgAQ//8AAAAIAA0AGgAkAGEAAAAAAAACAQAAAAAAAAAFAAAAAAAAAAAAAAAAAAACBQ==},
	Bdsk-Url-1 = {https://doi.org/10.2307/2043245}}

@article{Coifman1983,
	Author = {Coifman, Ronald and Jones, Peter and Rubio de Francia, Jos\'e},
	Date-Added = {2020-05-07 20:21:55 +0200},
	Date-Modified = {2020-07-11 17:07:36 +0200},
	Doi = {10.2307/2043357},
	Journal = {Proc. Amer. Math. Soc.},
	Month = {04},
	Title = {Constructive Decomposition of $\mathrm{BMO}$ Functions and Factorization of $A_p$ Weights},
	Volume = {87},
	Year = {1983},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.2307/2043357}}

@inproceedings{RubiodeFrancia1982-2,
	Address = {Rome},
	Author = {Rubio de Francia, Jos\'e L.},
	Booktitle = {Topics in modern harmonic analysis},
	Date-Added = {2020-05-07 20:20:26 +0200},
	Date-Modified = {2020-07-11 17:55:58 +0200},
	Organization = {Ist. Naz. Alta Mat. Francesco Severi},
	Pages = {571--579},
	Title = {A new technique in the theory of $A_p$ weights},
	Volume = {I, II},
	Year = {1983}}

@article{RubiodeFrancia1984,
	Author = {Rubio de Francia, Jos\'e L.},
	Date-Added = {2020-05-07 20:15:59 +0200},
	Date-Modified = {2020-07-11 17:56:08 +0200},
	Issn = {00029327, 10806377},
	Journal = {Amer. J. Math.},
	Number = {3},
	Pages = {533--547},
	Publisher = {Johns Hopkins University Press},
	Title = {Factorization Theory and $A_p$ Weights},
	Url = {http://www.jstor.org/stable/2374284},
	Volume = {106},
	Year = {1984},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {http://www.jstor.org/stable/2374284}}

@article{RubiodeFrancia1982,
	Author = {Rubio de Francia, Jos\'e L.},
	Date-Added = {2020-05-07 20:13:39 +0200},
	Date-Modified = {2020-07-10 12:34:42 +0200},
	Fjournal = {Bulletin (New Series) of the American Mathematical Society},
	Journal = {Bull. Amer. Math. Soc. (N.S.)},
	Month = {09},
	Number = {2},
	Pages = {393--395},
	Publisher = {American Mathematical Society},
	Title = {Factorization and extrapolation of weights},
	Url = {https://projecteuclid.org:443/euclid.bams/1183549644},
	Volume = {7},
	Year = {1982},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://projecteuclid.org:443/euclid.bams/1183549644}}

@article{GarciaCuerva1987,
	Author = {Garc\'ia-Cuerva, Jos\'e},
	Date-Added = {2020-05-07 20:02:54 +0200},
	Date-Modified = {2020-05-07 20:04:16 +0200},
	Journal = {Collect. Math.},
	Number = {1},
	Pages = {3--15},
	Title = {Jos\'e Luis Rubio de Francia},
	Volume = {38},
	Year = {1987},
	Bdsk-File-1 = {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}}

@incollection{Muckenhoupt1974-2,
	Author = {Muckenhoupt, Benjamin},
	Booktitle = {Linear Operators and Approximation II/Lineare Operatoren und Approximation II},
	Date-Added = {2020-05-07 19:57:37 +0200},
	Date-Modified = {2020-05-07 19:58:45 +0200},
	Pages = {265--283},
	Publisher = {Springer},
	Title = {Weighted norm inequalities for classical operators},
	Year = {1974},
	Bdsk-File-1 = {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}}

@article{Jones1980,
	Author = {Jones, Peter W.},
	Date-Added = {2020-05-07 19:53:26 +0200},
	Date-Modified = {2020-07-11 17:37:28 +0200},
	Issn = {0003486X},
	Journal = {Ann. Math.},
	Number = {3},
	Pages = {511--530},
	Publisher = {Annals of Mathematics},
	Title = {Factorization of $A_p$ Weights},
	Url = {http://www.jstor.org/stable/1971107},
	Volume = {111},
	Year = {1980},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {http://www.jstor.org/stable/1971107}}

@misc{Canto2019,
	Archiveprefix = {arXiv},
	Author = {Canto, Javier and P\'erez, Carlos},
	Date-Added = {2020-05-07 18:23:39 +0200},
	Date-Modified = {2020-07-11 16:55:18 +0200},
	Eprint = {1910.12957},
	Primaryclass = {math.CA},
	Title = {Extensions of the John-Nirenberg theorem and applications},
	Year = {2019},
	Bdsk-File-1 = {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}}

@article{Conde-Alonso2019,
	Abstract = {Consider a totally irregular measure {\$}{\$}{$\backslash$}mu {\$}{\$}μin {\$}{\$}{\{}{\{}{$\backslash$}mathbb {\{}R{\}}{\}}{\}}\^{}{\{}n+1{\}}{\$}{\$}Rn+1, that is, the upper density {\$}{\$}{$\backslash$}limsup {\_}{\{}r{$\backslash$}rightarrow 0{\}}{$\backslash$}frac{\{}{$\backslash$}mu (B(x,r)){\}}{\{}(2r)\^{}n{\}}{\$}{\$}lim supr→0μ(B(x,r))(2r)nis positive {\$}{\$}{$\backslash$}mu {\$}{\$}μ-a.e. in {\$}{\$}{\{}{\{}{$\backslash$}mathbb {\{}R{\}}{\}}{\}}\^{}{\{}n+1{\}}{\$}{\$}Rn+1, and the lower density {\$}{\$}{$\backslash$}liminf {\_}{\{}r{$\backslash$}rightarrow 0{\}}{$\backslash$}frac{\{}{$\backslash$}mu (B(x,r)){\}}{\{}(2r)\^{}n{\}}{\$}{\$}lim infr→0μ(B(x,r))(2r)nvanishes {\$}{\$}{$\backslash$}mu {\$}{\$}μ-a.e. in {\$}{\$}{\{}{\{}{$\backslash$}mathbb {\{}R{\}}{\}}{\}}\^{}{\{}n+1{\}}{\$}{\$}Rn+1. We show that if {\$}{\$}T{\_}{$\backslash$}mu f(x)={$\backslash$}int K(x,y){$\backslash$},f(y){$\backslash$},d{$\backslash$}mu (y){\$}{\$}Tμf(x)=∫K(x,y)f(y)dμ(y)is an operator whose kernel {\$}{\$}K({$\backslash$}cdot ,{$\backslash$}cdot ){\$}{\$}K(·,·)is the gradient of the fundamental solution for a uniformly elliptic operator in divergence form associated with a matrix with H{\"o}lder continuous coefficients, then {\$}{\$}T{\_}{$\backslash$}mu {\$}{\$}Tμis not bounded in {\$}{\$}L\^{}2({$\backslash$}mu ){\$}{\$}L2(μ). This extends a celebrated result proved previously by Eiderman, Nazarov and Volberg for the n-dimensional Riesz transform.},
	Author = {Conde-Alonso, Jos\'e M. and Mourgoglou, Mihalis and Tolsa, Xavier},
	Da = {2019/02/01},
	Date-Added = {2020-05-06 21:13:09 +0200},
	Date-Modified = {2020-07-11 17:07:57 +0200},
	Doi = {10.1007/s00208-018-1729-1},
	Id = {Conde-Alonso2019},
	Isbn = {1432-1807},
	Journal = {Math. Ann.},
	Number = {1},
	Pages = {253--285},
	Title = {Failure of $L^2$ boundedness of gradients of single layer potentials for measures with zero low density},
	Ty = {JOUR},
	Url = {https://doi.org/10.1007/s00208-018-1729-1},
	Volume = {373},
	Year = {2019},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.1007/s00208-018-1729-1}}

@article{Koch1904,
	Author = {{von Koch}, Helge},
	Date-Added = {2020-05-06 17:20:22 +0200},
	Date-Modified = {2020-07-10 12:26:40 +0200},
	Fjournal = {{Arkiv f\"or Matematik, Astronomi och Fysik}},
	Issn = {0365-4133},
	Journal = {{Ark. Mat. Astron. Fys.}},
	Language = {French},
	Msc2010 = {26A27 28A80},
	Pages = {681--702},
	Publisher = {Kungliga Svenska Vetenskapsakademien, Stockholm},
	Title = {{Sur une courbe continue sans tangente, obtenue par une construction g\'eom\'etrique \'el\'ementaire.}},
	Volume = {1},
	Year = {1904},
	Zbl = {35.0387.02},
	Bdsk-File-1 = {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}}

@article{Azzam2015,
	Author = {Azzam, Jonas and Hofmann, Steve and Martell, Jos\'e Mar\'ia and Mayboroda, Svitlana and Mourgoglou, Mihalis and Tolsa, Xavier and Volberg, Alexander},
	Date-Added = {2020-05-02 21:16:02 +0200},
	Date-Modified = {2020-07-11 16:09:58 +0200},
	Doi = {10.1007/s00039-016-0371-x},
	Journal = {Geom. Funct. Anal.},
	Pages = {703--728},
	Title = {Rectifiability of harmonic measure},
	Volume = {26},
	Year = {2016},
	Bdsk-Url-1 = {https://doi.org/10.1007/s00039-016-0371-x}}

@article{RubiodeFrancia1988,
	Author = {Rubio de Francia, Jos{\'e} L.},
	Date-Added = {2020-05-02 21:08:33 +0200},
	Date-Modified = {2020-07-10 12:34:59 +0200},
	Journal = {Zubia},
	Number = {6},
	Pages = {7--30},
	Title = {El problema de Dirichlet y la medida arm\'onica},
	Url = {https://dialnet.unirioja.es/servlet/articulo?codigo=110209},
	Year = {1988},
	Bdsk-File-1 = {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}}

@article{RubiodeFrancia1978,
	Author = {Rubio de Francia, Jos\'e L.},
	Date-Added = {2020-05-01 20:58:22 +0200},
	Date-Modified = {2020-07-11 17:53:11 +0200},
	Journal = {Comment. Math. Prace Mat.},
	Pages = {453--466},
	Title = {Nets of subgroups in locally compact groups},
	Volume = {20},
	Year = {1977/78}}

@book{Astala2008,
	Author = {Astala, Kari and Iwaniec, Tadeusz and Martin, Gaven},
	Date-Added = {2020-04-29 17:23:06 +0200},
	Date-Modified = {2020-07-11 16:09:21 +0200},
	Isbn = {9781400830114},
	Publisher = {Princeton University Press},
	Series = {Princeton Mathematical Series},
	Title = {Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane},
	Url = {https://books.google.es/books?id=O\_3-otfrBW8C},
	Year = {2008},
	Bdsk-Url-1 = {https://books.google.es/books?id=O%5C_3-otfrBW8C}}

@article{Wheeden1993,
	Abstract = {A new characterization is given for the pairs of weight functions v, w for which the fractional maximal function is a bounded operator from $L^p_v(X)$ to $L_w^q(X)$ when 1 < p < q < ∞ and X is a homogeneous space with a group structure. The case when X is n-dimensional Euclidean space is included.},
	Author = {Wheeden, Richard},
	Date-Added = {2020-04-23 19:19:16 +0200},
	Date-Modified = {2020-07-11 17:57:52 +0200},
	Journal = {Stud. Math.},
	Keywords = {weighted norm inequalities; fractional maximal function; homogeneous space},
	Language = {eng},
	Number = {3},
	Pages = {257-272},
	Title = {A characterization of some weighted norm inequalities for the fractional maximal function},
	Url = {http://eudml.org/doc/216032},
	Volume = {107},
	Year = {1993},
	Bdsk-Url-1 = {http://eudml.org/doc/216032}}

@article{Perez1995-2,
	Abstract = {We prove endpoint estimates for commutatotrs of singular integrals with BMO functions. We first show that they satisfy L(log L) type inequalities and then that there is a Hardy space type estimate where the usual atomic Hardy space is replaced by an appropriate subspace.},
	Author = {P\'erez, Carlos},
	Date-Added = {2020-04-15 13:19:18 +0200},
	Date-Modified = {2020-07-11 17:50:29 +0200},
	Doi = {https://doi.org/10.1006/jfan.1995.1027},
	Issn = {0022-1236},
	Journal = {J. Funct. Anal.},
	Number = {1},
	Pages = {163 - 185},
	Title = {Endpoint Estimates for Commutators of Singular Integral Operators},
	Url = {http://www.sciencedirect.com/science/article/pii/S0022123685710270},
	Volume = {128},
	Year = {1995},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/S0022123685710270},
	Bdsk-Url-2 = {https://doi.org/10.1006/jfan.1995.1027}}

@article{Guo2019,
	Author = {Guo, Weichao and Lian, Jiali and Wu, Huoxiong},
	Date-Added = {2020-04-15 13:15:38 +0200},
	Date-Modified = {2020-07-11 17:20:35 +0200},
	Doi = {10.1007/s12220-019-00226-y},
	Journal = {J. Geom. Anal.},
	Month = {09},
	Title = {The Unified Theory for the Necessity of Bounded Commutators and Applications},
	Year = {2017},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.1007/s12220-019-00226-y}}

@article{Accomazzo2018,
	Author = {Accomazzo, Natalia},
	Date-Added = {2020-04-15 12:43:11 +0200},
	Date-Modified = {2020-07-11 16:07:29 +0200},
	Doi = {10.1007/s11856-018-1778-x},
	Journal = {Isr. J. Math.},
	Month = {02},
	Pages = {787--800},
	Title = {A characterization of $\mathrm{BMO}$ in terms of endpoint bounds for commutators of singular integrals},
	Volume = {228},
	Year = {2018},
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	Bdsk-Url-1 = {https://doi.org/10.1007/s11856-018-1778-x}}

@article{Riesz1949,
	Author = {Riesz, Marcel},
	Date-Added = {2020-04-14 18:07:42 +0200},
	Date-Modified = {2020-07-11 17:52:49 +0200},
	Journal = {Acta Math.},
	Pages = {1--223},
	Title = {L'int\'egrale de Riemann-Liouville et le probl\`eme de Cauchy},
	Volume = {81},
	Year = {1949}}

@article{Riesz1938,
	Author = {Riesz, Marcel},
	Date-Added = {2020-04-14 18:07:16 +0200},
	Date-Modified = {2020-07-10 12:34:22 +0200},
	Journal = {Acta Sci. Math. Szeged},
	Number = {1},
	Pages = {1--42},
	Title = {Int{\'e}grales de Riemann-Liouville et potentiels},
	Volume = {9},
	Year = {1938}}

@article{Liouville1832-2,
	Author = {Liouville, Joseph},
	Date-Added = {2020-04-14 18:02:47 +0200},
	Date-Modified = {2020-07-11 17:43:19 +0200},
	Journal = {J. {\'E}c. polytech. Math.},
	Pages = {71--62},
	Title = {M\'emoire sur le calcul des diff\'erentielles indices quelconques.},
	Year = {1832}}

@article{Liouville1832,
	Author = {Liouville, Joseph},
	Date-Added = {2020-04-14 17:59:56 +0200},
	Date-Modified = {2020-07-11 17:42:44 +0200},
	Journal = {J. {\'E}c. polytech. Math.},
	Number = {XXI},
	Pages = {1--69},
	Title = {M\'moire sur quelques Qu\'estions de G\'eometrie et de M\'ecanique, et sur un nouveau genre de Calcul pour r\'esoudre ces Qu\'estions},
	Volume = {XIII}}

@incollection{Riemann1847,
	Author = {Riemann, Bernhard},
	Booktitle = {Gesammelte mathematische Werke},
	Date-Added = {2020-04-14 17:42:13 +0200},
	Date-Modified = {2020-07-11 17:52:26 +0200},
	Editor = {Dedekind, Richard and Weber, Heinrich Martin},
	Title = {Versuch einer allgemeinen Auffassung der Integration und Differentiation (1847)},
	Year = {1876},
	Bdsk-File-1 = {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}}

@article{Dugowson1997,
	Author = {Dugowson, St\'ephane},
	Date-Added = {2020-04-14 17:30:59 +0200},
	Date-Modified = {2020-07-11 17:10:22 +0200},
	Journal = {Rev. Hist. Math.},
	Language = {fr},
	Number = {1},
	Pages = {49-97},
	Publisher = {Soci\'et\'e math\'ematique de France},
	Title = {L'\'elaboration par Riemann d'une d\'efinition de la d\'erivation d'ordre non entier},
	Url = {http://www.numdam.org/item/RHM_1997__3_1_49_0},
	Volume = {3},
	Year = {1997},
	Zbl = {0881.01007},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {http://www.numdam.org/item/RHM_1997__3_1_49_0}}

@article{Lutzen1982,
	Abstract = {It is well known that Liouville did pioneering work on the application of specific integral equations in different parts of mathematics and mathematical physics. However, his short paper on spectral theory of Hilbert-Schmidt like operators has been neglected. With that paper Liouville initiated the general theory of integral equations.
R{\'e}sum{\'e}
Il est bien connu que Joseph Liouville {\'e}tait parmi les premiers {\`a} appliquer des {\'e}quations int{\'e}grales {\`a} la solution de plusieurs probl{\`e}ms de math{\'e}matique et de m{\'e}chanique. D'autre part, sa note sur la th{\'e}orie spectrale des op{\'e}rateurs du type Hilbert-Schmidt est rest{\'e}e inconnue. Dans cette note, Liouville {\`a} entam{\'e} la th{\'e}orie g{\'e}n{\'e}rale des {\'e}quations int{\'e}grales.},
	Author = {Jesper L\"utzen},
	Date-Added = {2020-04-14 13:30:30 +0200},
	Date-Modified = {2020-07-11 17:44:53 +0200},
	Doi = {https://doi.org/10.1016/0315-0860(82)90104-5},
	Issn = {0315-0860},
	Journal = {Historia Math.},
	Number = {4},
	Pages = {373 - 391},
	Title = {Joseph Liouville's contribution to the theory of integral equations},
	Url = {http://www.sciencedirect.com/science/article/pii/0315086082901045},
	Volume = {9},
	Year = {1982},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/0315086082901045},
	Bdsk-Url-2 = {https://doi.org/10.1016/0315-0860(82)90104-5}}

@article{Luque2015,
	Author = {Luque, Teresa and P\'erez, Carlos and Rela, Ezequiel},
	Date-Added = {2020-04-13 16:08:12 +0200},
	Date-Modified = {2020-04-13 16:08:23 +0200},
	Fjournal = {Mathematical Research Letters},
	Issn = {1073-2780},
	Journal = {Math. Res. Lett.},
	Mrclass = {42B25 (42B35)},
	Mrnumber = {3342184},
	Mrreviewer = {Huoxiong Wu},
	Number = {1},
	Pages = {183--201},
	Title = {Optimal exponents in weighted estimates without examples},
	Url = {https://doi.org/10.4310/MRL.2015.v22.n1.a10},
	Volume = {22},
	Year = {2015},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.4310/MRL.2015.v22.n1.a10}}

@article{CruzUribe2013,
	Author = {Cruz-Uribe, David and Moen, Kabe},
	Date-Added = {2020-04-13 16:07:48 +0200},
	Date-Modified = {2020-04-13 16:07:48 +0200},
	Fjournal = {Illinois Journal of Mathematics},
	Issn = {0019-2082},
	Journal = {Illinois J. Math.},
	Mrclass = {42B25 (42B30 42B35)},
	Mrnumber = {3224572},
	Mrreviewer = {Yasuo Komori-Furuya},
	Number = {1},
	Pages = {295--323},
	Title = {One and two weight norm inequalities for {R}iesz potentials},
	Url = {http://projecteuclid.org/euclid.ijm/1403534497},
	Volume = {57},
	Year = {2013},
	Bdsk-Url-1 = {http://projecteuclid.org/euclid.ijm/1403534497}}

@article{Coifman1976,
	Author = {Coifman, Ronald R. and Rochberg, Richard and Weiss, Guido},
	Date-Added = {2020-04-13 16:07:37 +0200},
	Date-Modified = {2020-07-11 17:05:57 +0200},
	Doi = {10.2307/1970954},
	Journal = {Ann. Math.},
	Month = {5},
	Number = {3},
	Pages = {611--635},
	Publisher = {{JSTOR}},
	Title = {Factorization Theorems for Hardy Spaces in Several Variables},
	Volume = {103},
	Year = {1976},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.2307/1970954}}

@article{Holmes2015,
	Author = {Holmes, Irina and Wick, Brett D.},
	Date-Added = {2020-04-13 16:02:10 +0200},
	Date-Modified = {2020-07-11 17:28:10 +0200},
	Journal = {J. Operator Theory},
	Title = {Two Weight Inequalities for Iterated Commutators with Calder\'on--Zygmund Operators},
	Volume = {79},
	Year = {2015}}

@article{CruzUribe2012,
	Author = {Cruz-Uribe, David and Moen, Kabe},
	Date-Added = {2020-04-13 16:00:01 +0200},
	Date-Modified = {2020-07-11 17:08:47 +0200},
	Doi = {10.5565/publmat_56112_06},
	Journal = {Publicacions Mat.},
	Month = {1},
	Pages = {147--190},
	Publisher = {Universitat Autonoma de Barcelona},
	Title = {Sharp norm inequalities for commutators of classical operators},
	Volume = {56},
	Year = {2012},
	Bdsk-Url-1 = {https://doi.org/10.5565/publmat_56112_06}}

@article{Benyi2020,
	Abstract = {We present a unified method to obtain unweighted and weighted estimates of linear and multilinear commutators with BMO functions, that is amenable to a plethora of operators and functional settings. Our approach elaborates on a commonly used Cauchy integral trick, recovering many known results but yielding also numerous new ones. In particular, we solve a problem about the boundedness of the commutators of the bilinear Hilbert transform with functions in BMO.},
	Author = {B\'enyi, \'Arp\'ad and Martell, Jos{\'{e}} Mar{\'{\i}}a and Moen, Kabe and Stachura, Eric and Torres, Rodolfo H.},
	Da = {2020/02/01},
	Date-Added = {2020-04-13 15:59:50 +0200},
	Date-Modified = {2020-07-11 16:46:19 +0200},
	Doi = {10.1007/s00208-019-01870-z},
	Id = {B{\'e}nyi2020},
	Isbn = {1432-1807},
	Journal = {Math. Ann.},
	Number = {1},
	Pages = {61--102},
	Title = {Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach},
	Ty = {JOUR},
	Url = {https://doi.org/10.1007/s00208-019-01870-z},
	Volume = {376},
	Year = {2020},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.1007/s00208-019-01870-z}}

@article{CruzUribe2002,
	Author = {Cruz-Uribe, David and P{\'{e}}rez, Carlos},
	Date-Added = {2020-04-10 18:09:01 +0200},
	Date-Modified = {2020-04-10 18:09:01 +0200},
	File = {:Users/jmartinez/Desktop/Art{\'{i}}culos y Libros/Cruz-uribe, P{\'{e}}rez/2002/Annali Scuola Normale Superiore di Pisa/Cruz-uribe, P{\'{e}}rez - 2002 - On the Two-weight Problem for Singular Integral Operators.pdf:pdf},
	Journal = {Ann. Scuola. Norm.-Sci.},
	Number = {5},
	Pages = {821--849},
	Title = {{On the Two-weight Problem for Singular Integral Operators}},
	Volume = {I},
	Year = {2002},
	Bdsk-File-1 = {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}}

@article{CruzUribe2000,
	Author = {Cruz-Uribe, David and P{\'{e}}rez, Carlos},
	Date-Added = {2020-04-10 18:08:47 +0200},
	Date-Modified = {2020-04-10 18:08:47 +0200},
	Journal = {Indiana U. Math. J.},
	Number = {2},
	Pages = {697--721},
	Title = {{Two-weight, Weak-type Norm Inequalities for Fractional Integrals, Calder\'on-Zygmund Operators and Commutators}},
	Volume = {49},
	Year = {2000}}

@article{Dyda2006,
	Author = {Dyda, Bart\l{}omiej},
	Date-Added = {2020-04-10 18:05:55 +0200},
	Date-Modified = {2020-07-11 17:11:19 +0200},
	Journal = {J. Math. Anal. Appl.},
	Pages = {564-577},
	Title = {On comparability of integral forms},
	Volume = {318},
	Year = {2006}}

@article{Campanato1963,
	Author = {Campanato, Sergio},
	Date-Added = {2020-04-10 18:03:47 +0200},
	Date-Modified = {2020-04-10 18:03:47 +0200},
	Journal = {Ann. Scuola. Norm.-Sci.},
	Mrnumber = {156188},
	Number = {1-2},
	Pages = {175-188},
	Publisher = {Scuola normale superiore},
	Title = {Propriet\`a di h\"olderianit\`a di alcune classi di funzioni},
	Url = {http://www.numdam.org/item/ASNSP_1963_3_17_1-2_175_0},
	Volume = {Ser. 3, 17},
	Year = {1963},
	Zbl = {0121.29201},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {http://www.numdam.org/item/ASNSP_1963_3_17_1-2_175_0}}

@article{Zhou2014,
	Author = {Zhou, Yuan},
	Booktitle = {Transactions of the American Mathematical Society},
	Date-Added = {2020-04-10 17:25:56 +0200},
	Date-Modified = {2020-07-11 17:58:53 +0200},
	Journal = {Trans. Amer. Math. Soc.},
	Month = {02},
	Pages = {959-979},
	Title = {Fractional Sobolev extension and imbedding},
	Volume = {367},
	Year = {2015}}

@book{Martio1985,
	Author = {Martio, Olli and Vuorinen, Matti},
	Date-Added = {2020-04-10 17:22:13 +0200},
	Date-Modified = {2020-04-10 17:22:13 +0200},
	Publisher = {University of Jyv{\"a}skyl{\"a}. Department of Mathematics},
	Title = {Whitney cubes, p-capacity, and Minkowski content},
	Year = {1985}}

@article{Dyda2015,
	Author = {Dyda, Bart\l{}omiej and V\"ah\"akangas, Antti V.},
	Date-Added = {2020-04-10 17:21:58 +0200},
	Date-Modified = {2020-04-10 17:38:39 +0200},
	Journal = {Adv. Cal. Var.},
	Pages = {173--182},
	Title = {Characterizations for fractional Hardy inequality},
	Volume = {8},
	Year = {2015},
	Bdsk-Url-1 = {https://www.degruyter.com/view/j/acv.2015.8.issue-2/acv-2013-0019/acv-2013-0019.xml%20%20},
	Bdsk-Url-2 = {https://doi.org/10.1515/acv-2013-0019%20}}

@article{Hedberg1972,
	Author = {Hedberg, Lars Inge},
	Date-Added = {2020-04-10 17:16:51 +0200},
	Date-Modified = {2020-04-10 17:16:51 +0200},
	Journal = {Proc. Amer. Math. Soc.},
	Number = {505-505},
	Title = {On Certain Convolution Inequalities},
	Volume = {36},
	Year = {1972}}

@article{Hajlasz1996,
	Author = {Haj\l{}asz, Piotr},
	Date-Added = {2020-04-10 17:14:58 +0200},
	Date-Modified = {2020-04-10 17:36:38 +0200},
	Journal = {Potential Anal.},
	Month = {08},
	Pages = {403-415},
	Title = {Sobolev spaces on an arbitrary metric space},
	Volume = {5},
	Year = {1996}}

@article{Yang2004,
	Author = {Yang, Dachun},
	Date-Added = {2020-04-10 17:06:52 +0200},
	Date-Modified = {2020-04-10 17:06:52 +0200},
	Doi = {10.1002/mana.200310198},
	Fjournal = {Mathematische Nachrichten},
	Issn = {0025-584X},
	Journal = {Math. Nachr.},
	Mrclass = {46B70 (42B35 46E35)},
	Mrnumber = {2084959},
	Mrreviewer = {Juha Heinonen},
	Pages = {96--113},
	Title = {Real interpolations for {B}esov and {T}riebel-{L}izorkin spaces on spaces of homogeneous type},
	Url = {https://doi.org/10.1002/mana.200310198},
	Volume = {273},
	Year = {2004},
	Bdsk-Url-1 = {https://doi.org/10.1002/mana.200310198}}

@book{Triebel2008,
	Author = {Triebel, Hans},
	Date-Added = {2020-04-10 17:03:01 +0200},
	Date-Modified = {2020-04-10 17:03:01 +0200},
	Publisher = {European Mathematical Society},
	Title = {Function spaces and wavelets on domains},
	Volume = {7},
	Year = {2008}}

@book{Stein1986,
	Date-Added = {2020-04-10 17:02:05 +0200},
	Date-Modified = {2020-07-10 12:35:47 +0200},
	Editor = {Stein, Elias M.},
	Publisher = {Annals of Mathematics Studies, Princeton University Press},
	Title = {Beijing Lectures in Harmonic Analysis},
	Volume = {112},
	Year = {1986}}

@article{Reshetnyak1980,
	Author = {Reshetnyak, Yu G.},
	Date-Added = {2020-04-10 16:59:43 +0200},
	Date-Modified = {2020-07-11 17:52:16 +0200},
	Journal = {Sib. Math. J.},
	Number = {6},
	Pages = {833--839},
	Publisher = {Springer},
	Title = {Integral representations of differentiable functions in domains with nonsmooth boundary},
	Volume = {21},
	Year = {1980}}

@article{PetruskaPaluba2004,
	Author = {Pietruska-Paluba, Katarzyna},
	Date-Added = {2020-04-10 16:58:24 +0200},
	Date-Modified = {2020-04-10 16:58:24 +0200},
	Journal = {Manuscripta Math.},
	Number = {389-399},
	Title = {Heat kernels on metric spaces and a characterization of constant functions},
	Volume = {115},
	Year = {2004}}

@article{Macias1979,
	Author = {Mac\'ias, Roberto A. and Segovia, Carlos},
	Booktitle = {Advances in Mathematics - ADVAN MATH},
	Date-Added = {2020-04-10 16:56:19 +0200},
	Date-Modified = {2020-04-10 16:56:19 +0200},
	Journal = {Adv. Math.},
	Month = {09},
	Pages = {271-309},
	Title = {A Decomposition into Atoms of Distributions on Spaces of Homogeneous Type},
	Volume = {33},
	Year = {1979}}

@article{Martio1978,
	Author = {Martio, Olli and Sarvas, Jukka},
	Date-Added = {2020-04-10 16:55:48 +0200},
	Date-Modified = {2020-04-10 16:55:48 +0200},
	Journal = {Ann. Acad. Sci. Fenn. Math Ser. A. I. Math.},
	Number = {383-401},
	Title = {Injectivity theorems in plane and space},
	Volume = {4},
	Year = {1978/1979}}

@book{Mazya2011,
	Author = {Vladimir Maz'ya},
	Date-Added = {2020-04-10 16:54:53 +0200},
	Date-Modified = {2020-04-10 16:54:53 +0200},
	Edition = {2},
	Publisher = {Springer-Verlag Berlin Heidelberg},
	Series = {Grundlehren der mathematischen Wissenschaften 342},
	Title = {Sobolev Spaces: with Applications to Elliptic Partial Differential Equations},
	Year = {2011},
	Bdsk-Url-1 = {http://gen.lib.rus.ec/book/index.php?md5=4ABC78DF411776380467938803E5B2B5}}

@article{John1961-2,
	Author = {John, Fritz},
	Date-Added = {2020-04-10 16:52:08 +0200},
	Date-Modified = {2020-04-10 16:52:08 +0200},
	Doi = {10.1002/cpa.3160140316},
	Eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/cpa.3160140316},
	Journal = {Comm. Pure Appl. Math.},
	Number = {3},
	Pages = {391-413},
	Title = {Rotation and strain},
	Url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/cpa.3160140316},
	Volume = {14},
	Year = {1961},
	Bdsk-Url-1 = {https://onlinelibrary.wiley.com/doi/abs/10.1002/cpa.3160140316},
	Bdsk-Url-2 = {https://doi.org/10.1002/cpa.3160140316}}

@article{Jarvenpaa2010,
	Author = {J\"{a}rvenp\"{a}\"{a}, Esa and J\"{a}rvenp\"{a}\"{a}, Maarit and K\"{a}enm\"{a}ki, Antti and Rajala, Tapio and Rogovin, Sari and Suomala, Ville},
	Date-Added = {2020-04-10 16:51:38 +0200},
	Date-Modified = {2020-04-10 16:51:38 +0200},
	Doi = {10.1007/s00209-009-0555-2},
	Fjournal = {Mathematische Zeitschrift},
	Issn = {0025-5874},
	Journal = {Math. Z.},
	Mrclass = {28A80 (28A78 54E35)},
	Mrnumber = {2670673},
	Mrreviewer = {Zbigniew Grande},
	Number = {1},
	Pages = {83--105},
	Title = {Packing dimension and {A}hlfors regularity of porous sets in metric spaces},
	Url = {https://doi.org/10.1007/s00209-009-0555-2},
	Volume = {266},
	Year = {2010},
	Bdsk-Url-1 = {https://doi.org/10.1007/s00209-009-0555-2}}

@article{Jerison1986,
	Author = {Jerison, David},
	Date-Added = {2020-04-10 16:50:15 +0200},
	Date-Modified = {2020-04-10 16:50:15 +0200},
	Doi = {10.1215/S0012-7094-86-05329-9},
	Fjournal = {Duke Mathematical Journal},
	Journal = {Duke Math. J.},
	Month = {06},
	Number = {2},
	Pages = {503--523},
	Publisher = {Duke University Press},
	Title = {The Poincar\'e inequality for vector fields satisfying H\"ormander's condition},
	Url = {https://doi.org/10.1215/S0012-7094-86-05329-9},
	Volume = {53},
	Year = {1986},
	Bdsk-Url-1 = {https://doi.org/10.1215/S0012-7094-86-05329-9}}

@article{Ihnatsyeva2013,
	Author = {Ihnatsyeva, Lizaveta and V\"ah\"akangas, Antti V.},
	Date-Added = {2020-04-10 16:47:11 +0200},
	Date-Modified = {2020-04-10 16:47:11 +0200},
	Doi = {https://doi.org/10.1016/j.jfa.2013.07.006},
	Issn = {0022-1236},
	Journal = {J. Funct. Anal.},
	Keywords = {Triebel--Lizorkin space, Besov space, Ahlfors -regular set, Trace theorem, Local polynomial approximation},
	Number = {9},
	Pages = {1870 - 1915},
	Title = {Characterization of traces of smooth functions on Ahlfors regular sets},
	Url = {http://www.sciencedirect.com/science/article/pii/S0022123613002656},
	Volume = {265},
	Year = {2013},
	Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/S0022123613002656},
	Bdsk-Url-2 = {https://doi.org/10.1016/j.jfa.2013.07.006}}

@article{Hurri-Syrjaenen2015,
	Author = {Hurri-Syrj\"anen, Ritva and V\"ah\"akangas, Antti},
	Date-Added = {2020-04-10 16:25:43 +0200},
	Date-Modified = {2020-07-11 17:30:56 +0200},
	Journal = {Mathematika},
	Month = {05},
	Pages = {385-401},
	Title = {Fractional Sobolev-Poincar\'e and fractional hardy inequalities in unbounded john domains},
	Volume = {61},
	Year = {2015}}

@article{Hurri-Syrjaenen1998,
	Abstract = {We show that unbounded John domains (and even a larger class of domains than John domains) satisfy the weighted Poincar{\'e} inequality $\underset _{a\in {\Bbb R}}\to{\inf}\|u(x)-a\|_{L^{q}(D,w_{1})}\leq C\|\nabla u(x)\|_{L^{p}(D,w_{2})}$ whenever u is a Lipschitz function on D, w1 is a doubling weight, and weights satisfy certain cube conditions, and C = C(D,p,q,w1,w2).},
	Author = {Hurri-Syrj\"anen, Ritva},
	Date-Added = {2020-04-10 16:24:05 +0200},
	Date-Modified = {2020-07-11 17:29:28 +0200},
	Issn = {00029939, 10886826},
	Journal = {Proc. Amer. Math. Soc.},
	Number = {2},
	Pages = {545--552},
	Publisher = {American Mathematical Society},
	Title = {A Weighted Poincar\'e Inequality with a Doubling Weight},
	Url = {http://www.jstor.org/stable/118719},
	Volume = {126},
	Year = {1998},
	Bdsk-Url-1 = {http://www.jstor.org/stable/118719}}

@article{Gogatishvili2010,
	Abstract = {Abstract Let X = (X, d, μ)be a doubling metric measure space. For 0 < α < 1, 1 ≤p, q < ∞, we define semi-norms When q = ∞ the usual change from integral to supremum is made in the definition. The Besov space Bp, qα (X) is the set of those functions f in Llocp(X) for which the semi-norm ‖f ‖ is finite. We will show that if a doubling metric measure space (X, d, μ) supports a (1, p)-Poincar{\'e} inequality, then the Besov space Bp, qα (X) coincides with the real interpolation space (Lp (X), KS1, p(X))α, q, where KS1, p(X) is the Sobolev space defined by Korevaar and Schoen [15]. This results in (sharp) imbedding theorems. We further show that our definition of a Besov space is equivalent with the definition given by Bourdon and Pajot [3], and establish a trace theorem ({\copyright} 2010 WILEY-VCH Verlag GmbH \& Co. KGaA, Weinheim)},
	Author = {Gogatishvili, Amiran and Koskela, Pekka and Shanmugalingam, Nageswari},
	Date-Added = {2020-04-10 16:23:17 +0200},
	Date-Modified = {2020-04-10 16:23:17 +0200},
	Doi = {10.1002/mana.200810242},
	Eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/mana.200810242},
	Journal = {Math. Nachr.},
	Keywords = {Besov spaces, Sobolev spaces, real interpolation method, K -functional, metric measure space, doubling measure space, embedding theorems},
	Number = {2},
	Pages = {215-231},
	Title = {Interpolation properties of Besov spaces defined on metric spaces},
	Url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/mana.200810242},
	Volume = {283},
	Year = {2010},
	Bdsk-Url-1 = {https://onlinelibrary.wiley.com/doi/abs/10.1002/mana.200810242},
	Bdsk-Url-2 = {https://doi.org/10.1002/mana.200810242}}

@article{GarciaCureva2003,
	Author = {Garc\'ia-Cuerva, Jos\'e and Gatto, A. Eduardo},
	Date-Added = {2020-04-10 16:22:32 +0200},
	Date-Modified = {2020-07-10 12:12:15 +0200},
	Doi = {10.4064/sm162-3-5},
	Journal = {Stud. Math.},
	Month = {01},
	Title = {Boundedness properties of fractional integral operators associated to non-doubling measures},
	Volume = {162},
	Year = {2003},
	Bdsk-Url-1 = {https://doi.org/10.4064/sm162-3-5}}

@article{Franchi1998,
	Author = {Franchi, Bruno and P\'{e}rez, Carlos and Wheeden, Richard L.},
	Date-Added = {2020-04-10 16:21:44 +0200},
	Date-Modified = {2020-04-10 16:21:44 +0200},
	Doi = {10.1006/jfan.1997.3175},
	Fjournal = {Journal of Functional Analysis},
	Issn = {0022-1236},
	Journal = {J. Funct. Anal.},
	Mrclass = {42B99 (46N20)},
	Mrnumber = {1609261},
	Mrreviewer = {J. Michael Pearson},
	Number = {1},
	Pages = {108--146},
	Title = {Self-improving properties of {J}ohn-{N}irenberg and {P}oincar\'{e} inequalities on spaces of homogeneous type},
	Url = {https://doi.org/10.1006/jfan.1997.3175},
	Volume = {153},
	Year = {1998},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.1006/jfan.1997.3175}}

@article{Dyda2016,
	Author = {Dyda, Bart\l{}omiej and Ihnatsyeva, Lizaveta and V\"ah\"akangas, Antti},
	Date-Added = {2020-04-10 16:20:57 +0200},
	Date-Modified = {2020-04-10 17:38:47 +0200},
	Journal = {Ark. Mat.},
	Number = {2},
	Pages = {437-454},
	Title = {On improved fractional Sobolev-Poincar\'e inequalities},
	Volume = {54},
	Year = {2016}}

@article{Diening2010,
	Author = {Diening, Lars and R\r{u}\v{z}i\v{c}ka, Michael and Schumacher, Katrin},
	Date-Added = {2020-04-10 15:07:32 +0200},
	Date-Modified = {2020-04-10 15:07:32 +0200},
	Journal = {Ann. Acad. Sci. Fenn. Math.},
	Pages = {87-114},
	Title = {A decomposition technique for John domains},
	Volume = {35(1)},
	Year = {2010}}

@article{Drelichman2019,
	Author = {Drelichman, Irene and Dur\'{a}n, Ricardo G.},
	Date-Added = {2020-04-10 15:04:06 +0200},
	Date-Modified = {2020-04-10 15:04:06 +0200},
	Doi = {10.1016/j.jmaa.2018.09.054},
	Fjournal = {Journal of Mathematical Analysis and Applications},
	Issn = {0022-247X},
	Journal = {J. Math. Anal. Appl.},
	Mrclass = {46E40},
	Mrnumber = {3865123},
	Number = {1},
	Pages = {91--101},
	Title = {On\qquad the\qquad interpolation\qquad \ space \\ $(L^p(\Omega),W^{1,p}(\Omega))_{s,p}$ in non-smooth domains},
	Url = {https://doi.org/10.1016/j.jmaa.2018.09.054},
	Volume = {470},
	Year = {2019},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.jmaa.2018.09.054}}

@article{Drelichman2017,
	Author = {Drelichman, Irene and Dur\'an, Ricardo G.},
	Date-Added = {2020-04-10 15:03:24 +0200},
	Date-Modified = {2020-07-10 13:20:54 +0200},
	Journal = {Ann. Acad. Sci. Fenn. Math.},
	Month = {05},
	Pages = {885--903},
	Title = {Improved Poincar\'e inequalities in fractional Sobolev spaces},
	Volume = {43},
	Year = {2017}}

@article{Bartolomiej2006,
	Author = {Dyda, Bart\l{}omiej},
	Date-Added = {2020-04-10 15:02:14 +0200},
	Date-Modified = {2020-04-10 17:36:18 +0200},
	Journal = {J. Math. Anal. Appl.},
	Pages = {564-577},
	Title = {On comparability of integral forms},
	Volume = {318},
	Year = {2006},
	Bdsk-File-1 = {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}}

@book{Coifman1971,
	Author = {Coifman, Ronald R. and Weiss, Guido},
	Date-Added = {2020-04-10 15:01:23 +0200},
	Date-Modified = {2020-04-10 15:01:23 +0200},
	Publisher = {Springer-Verlag, Berlin},
	Series = {Lecture Notes in Mathematics},
	Title = {Analyse Harmonique Non-Commutative sur Certains Espaces Homogenes},
	Volume = {242},
	Year = {1971}}

@article{Chua2018,
	Author = {Chua, Seng-Kee},
	Date-Added = {2020-04-10 15:00:05 +0200},
	Date-Modified = {2020-07-11 17:04:20 +0200},
	Journal = {Pacific J. Math.},
	Number = {2},
	Pages = {519--568},
	Title = {Embedding and compact embedding for weighted and abstract Sobolev spaces},
	Volume = {303},
	Year = {2019}}

@book{Bojarski1988,
	Author = {Bojarski, Bogdan},
	Date-Added = {2020-04-10 14:56:12 +0200},
	Date-Modified = {2020-04-10 14:56:12 +0200},
	Journal = {Complex Analysis Joensuu 1987},
	Pages = {52--68},
	Publisher = {Springer, Berlin Heidelberg},
	Series = {Lecture Notes in Mathematics},
	Title = {Remarks on Sobolev imbedding inequalities},
	Volume = {1351},
	Year = {1988},
	Bdsk-File-1 = {YnBsaXN0MDDSAQIDBFxyZWxhdGl2ZVBhdGhZYWxpYXNEYXRhXxAcUmVmZXJlbmNpYXMvQm9qYXJza2kxOTg4LnBkZk8RAXQAAAAAAXQAAgAAAkhEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABCRAAB/////xBCb2phcnNraTE5ODgucGRmAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD/////AAAAAAAAAAAAAAAAAAEAAwAACiBjdQAAAAAAAAAAAAAAAAALUmVmZXJlbmNpYXMAAAIARC86VXNlcnM6am1hcnRpbmV6OkRyb3Bib3g6VmVyYlRlWDpUZXNpczpSZWZlcmVuY2lhczpCb2phcnNraTE5ODgucGRmAA4AIgAQAEIAbwBqAGEAcgBzAGsAaQAxADkAOAA4AC4AcABkAGYADwAGAAIASABEABIAQlVzZXJzL2ptYXJ0aW5lei9Ecm9wYm94L1ZlcmJUZVgvVGVzaXMvUmVmZXJlbmNpYXMvQm9qYXJza2kxOTg4LnBkZgATAAEvAAAVAAIAEP//AAAACAANABoAJABDAAAAAAAAAgEAAAAAAAAABQAAAAAAAAAAAAAAAAAAAbs=}}

@book{Alvarado2015,
	Author = {Alvarado, Ryan and Mitrea, Marius},
	Date-Added = {2020-04-10 14:52:46 +0200},
	Date-Modified = {2020-04-10 14:52:46 +0200},
	Edition = {1},
	Publisher = {Springer International Publishing},
	Series = {Lecture Notes in Mathematics 2142},
	Title = {Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces: A Sharp Theory},
	Year = {2015},
	Bdsk-Url-1 = {http://gen.lib.rus.ec/book/index.php?md5=0ec9c38bb34126271abbf5d86300aed5}}

@article{Holmes2016,
	Author = {Holmes, Irina and Rahm, Robert and Spencer, Scott},
	Date-Added = {2020-04-10 14:33:01 +0200},
	Date-Modified = {2020-04-10 14:33:01 +0200},
	Fjournal = {Studia Mathematica},
	Issn = {0039-3223},
	Journal = {Studia Math.},
	Mrclass = {42A05 (42A50)},
	Mrnumber = {3517535},
	Number = {3},
	Pages = {279--291},
	Title = {Commutators with fractional integral operators},
	Volume = {233},
	Year = {2016}}

@book{Stein1970,
	Author = {Stein, Elias M.},
	Date-Added = {2020-04-10 14:31:31 +0200},
	Date-Modified = {2020-04-10 14:31:31 +0200},
	Mrclass = {46.38 (26.00)},
	Mrnumber = {0290095},
	Mrreviewer = {R. E. Edwards},
	Pages = {xiv+290},
	Publisher = {Princeton University Press, Princeton, N.J.},
	Series = {Princeton Mathematical Series, No. 30},
	Title = {Singular integrals and differentiability properties of functions},
	Year = {1970},
	Bdsk-File-1 = {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}}

@article{Muckenhoupt1974,
	Author = {Muckenhoupt, Benjamin and Wheeden, Richard L.},
	Date-Added = {2020-04-10 14:28:15 +0200},
	Date-Modified = {2020-07-11 17:46:49 +0200},
	Doi = {10.1090/s0002-9947-1974-0340523-6},
	Journal = {Trans. Amer. Math. Soc.},
	Pages = {261--261},
	Publisher = {American Mathematical Society ({AMS})},
	Title = {Weighted norm inequalities for fractional integrals},
	Volume = {192},
	Year = {1974},
	Bdsk-Url-1 = {https://doi.org/10.1090/s0002-9947-1974-0340523-6}}

@article{Lacey2010,
	Author = {Lacey, Michael T. and Moen, Kabe and P{\'{e}}rez, Carlos and Torres, Rodolfo H.},
	Date-Added = {2020-04-10 14:25:50 +0200},
	Date-Modified = {2020-07-11 17:40:48 +0200},
	Doi = {10.1016/j.jfa.2010.02.004},
	Journal = {J. Funct. Anal.},
	Month = {9},
	Number = {5},
	Pages = {1073--1097},
	Publisher = {Elsevier {BV}},
	Title = {Sharp weighted bounds for fractional integral operators},
	Volume = {259},
	Year = {2010},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.jfa.2010.02.004}}

@article{Lerner2013,
	Author = {Lerner, Andrei K.},
	Date-Added = {2020-04-10 14:23:56 +0200},
	Date-Modified = {2020-07-11 17:41:01 +0200},
	Fjournal = {International Mathematics Research Notices. IMRN},
	Issn = {1073-7928},
	Journal = {Int. Math. Res. Not.},
	Mrclass = {42B20 (42B25)},
	Mrnumber = {3085756},
	Mrreviewer = {Alberto Fiorenza},
	Number = {14},
	Pages = {3159--3170},
	Title = {A simple proof of the {$A_2$} conjecture},
	Url = {https://doi.org/10.1093/imrn/rns145},
	Year = {2013},
	Bdsk-Url-1 = {https://doi.org/10.1093/imrn/rns145}}

@article{IbanyezFirnkorn2017,
	Author = {I{ba\~nez}-Firnkorn, Gonzalo and Rivera-R\'ios, Israel P.},
	Date-Added = {2020-04-10 14:21:57 +0200},
	Date-Modified = {2020-07-11 17:35:56 +0200},
	Doi = {10.1007/s00605-019-01349-8},
	Journal = {Monatsh. Math.},
	Month = {04},
	Pages = {125--173},
	Title = {Sparse and weighted estimates for generalized H\"ormander operators and commutators},
	Volume = {191},
	Year = {2020},
	Bdsk-Url-1 = {https://doi.org/10.1007/s00605-019-01349-8}}

@article{Hytoenen2012-3,
	Author = {Hyt\"onen, Tuomas P.},
	Date-Added = {2020-04-10 14:19:22 +0200},
	Date-Modified = {2020-07-11 17:31:35 +0200},
	Doi = {10.4007/annals.2012.175.3.9},
	Journal = {Ann. Math.},
	Month = {5},
	Number = {3},
	Pages = {1473--1506},
	Publisher = {Annals of Mathematics, Princeton U},
	Title = {The sharp weighted bound for general Calder{\'{o}}n--Zygmund operators},
	Volume = {175},
	Year = {2012},
	Bdsk-Url-1 = {https://doi.org/10.4007/annals.2012.175.3.9}}

@book{Frazier1991,
	Author = {Frazier, Michael and Jawerth, Bj\"orn and Weiss, Guido},
	Date-Added = {2020-04-10 13:50:17 +0200},
	Date-Modified = {2020-04-10 13:50:17 +0200},
	Doi = {10.1090/cbms/079},
	Month = {6},
	Publisher = {American Mathematical Society},
	Title = {Littlewood-Paley Theory and the Study of Function Spaces},
	Year = {1991},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.1090/cbms/079}}

@article{Fackler2017,
	Author = {Fackler, Stephan and Hyt\"onen, Tuomas},
	Date-Added = {2020-04-10 13:13:56 +0200},
	Date-Modified = {2020-07-11 17:17:02 +0200},
	Journal = {New York J. Math.},
	Month = {11},
	Title = {Off-diagonal sharp two-weight estimates for sparse operators},
	Volume = {24},
	Year = {2017},
	Bdsk-File-1 = {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}}

@misc{CruzUribe2017-2,
	Archiveprefix = {arXiv},
	Author = {David Cruz-Uribe},
	Date-Added = {2020-04-08 16:47:28 +0200},
	Date-Modified = {2020-04-08 16:47:28 +0200},
	Eprint = {1706.02620},
	Primaryclass = {math.CA},
	Title = {Extrapolation and Factorization},
	Year = {2017},
	Bdsk-File-1 = {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}}

@article{Chung2012,
	Author = {Chung, Daewon and Pereyra, Mar\'ia and P\'erez, Carlos},
	Date-Added = {2020-04-08 15:50:45 +0200},
	Date-Modified = {2020-07-11 17:04:30 +0200},
	Doi = {10.1090/S0002-9947-2011-05534-0},
	Journal = {Trans. Amer. Math. Soc.},
	Month = {02},
	Title = {Sharp bounds for general commutators on weighted Lebesgue spaces},
	Volume = {364},
	Year = {2012},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.1090/S0002-9947-2011-05534-0}}

@book{Journe1983,
	Author = {Journ\'e, Jean-Lin},
	Date-Added = {2020-04-08 14:08:26 +0200},
	Date-Modified = {2020-07-10 12:17:39 +0200},
	Edition = {1},
	Publisher = {Springer-Verlag Berlin Heidelberg},
	Series = {Lecture Notes in Mathematics},
	Title = {Calder\'on-Zygmund Operators, Pseudo-Differential Operators and the Cauchy Integral of Calder\'on},
	Volume = {994},
	Year = {1983},
	Bdsk-File-1 = {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}}

@article{Hytoenen2013,
	Author = {Hyt\"onen, Tuomas and P\'erez, Carlos},
	Date-Added = {2020-04-08 12:09:41 +0200},
	Date-Modified = {2020-04-08 12:11:16 +0200},
	Journal = {Anal. PDE},
	Number = {4},
	Pages = {777--818},
	Title = {Sharp weighted bounds involving $A_{\infty}$},
	Url = {https://doi.org/10.2140/apde.2013.6.777},
	Volume = {6},
	Year = {2013},
	Bdsk-File-1 = {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}}

@article{Hruscev1984,
	Abstract = {A nonnegative weight w on Rn satisfies the A∞ condition iff $\sup_{Q \in \mathscr{A}} \bigg(|Q|^{-1} \cdot \int_Q w dx \bigg) \cdot \exp\bigg\{\frac{1}{|Q|} \int_Q \log \frac{1}{w} dx \bigg\} < \infty.$ Here A stands for a family of all cubes in Rn. Applications to BMO are considered.},
	Author = {Hru\v{s}\v{c}ev, Sergei V.},
	Date-Added = {2020-04-08 11:17:47 +0200},
	Date-Modified = {2020-07-11 17:29:04 +0200},
	Issn = {00029939, 10886826},
	Journal = {Proc. Amer. Math. Soc.},
	Number = {2},
	Pages = {253--257},
	Publisher = {American Mathematical Society},
	Title = {A Description of Weights Satisfying the $A_\infty$ Condition of Muckenhoupt},
	Url = {http://www.jstor.org/stable/2045350},
	Volume = {90},
	Year = {1984},
	Bdsk-Url-1 = {http://www.jstor.org/stable/2045350}}

@article{Astala2001,
	Author = {Astala, Kari and Iwaniec, Tadeusz and Saksman, Eero},
	Date-Added = {2020-04-06 16:14:09 +0200},
	Date-Modified = {2020-04-06 16:14:14 +0200},
	Doi = {10.1215/S0012-7094-01-10713-8},
	Fjournal = {Duke Mathematical Journal},
	Journal = {Duke Math. J.},
	Month = {03},
	Number = {1},
	Pages = {27--56},
	Publisher = {Duke University Press},
	Title = {Beltrami operators in the plane},
	Url = {https://doi.org/10.1215/S0012-7094-01-10713-8},
	Volume = {107},
	Year = {2001},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.1215/S0012-7094-01-10713-8}}

@phdthesis{TesisBuckley,
	Author = {Buckley, Stephen M.},
	Date-Added = {2020-04-06 15:31:51 +0200},
	Date-Modified = {2020-07-10 12:36:08 +0200},
	School = {University of Chicago},
	Title = {Harmonic analysis on weighted spaces},
	Year = {1990}}

@article{Helson1960,
	Abstract = {A new kind of «prediction problem »is defined and studied, first for certain special distributions and then generally. The general results are connected with conjugate trigonometric series.},
	Author = {Helson, Henry and Szeg\"o, Gabor},
	Da = {1960/12/01},
	Date-Added = {2020-04-06 13:49:44 +0200},
	Date-Modified = {2020-07-11 17:26:21 +0200},
	Doi = {10.1007/BF02410947},
	Id = {Helson1960},
	Isbn = {1618-1891},
	Journal = {Ann. Mat. Pura Appl.},
	Number = {1},
	Pages = {107},
	Title = {A problem in prediction theory},
	Ty = {JOUR},
	Url = {https://doi.org/10.1007/BF02410947},
	Volume = {51},
	Year = {1960},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.1007/BF02410947}}

@article{Rosenblum1962,
	Author = {Rosenblum, Marvin},
	Date-Added = {2020-04-06 13:47:31 +0200},
	Date-Modified = {2020-07-11 17:52:56 +0200},
	Issn = {00029947},
	Journal = {Trans. Amer. Math. Soc.},
	Number = {1},
	Pages = {32--42},
	Publisher = {American Mathematical Society},
	Title = {Summability of Fourier Series in $L^p (\d\mu)$},
	Url = {http://www.jstor.org/stable/1993918},
	Volume = {105},
	Year = {1962},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {http://www.jstor.org/stable/1993918}}

@article{Wilson1987,
	Author = {Wilson, James M.},
	Date-Added = {2020-04-05 22:23:35 +0200},
	Date-Modified = {2020-07-10 12:38:31 +0200},
	Journal = {Duke Math. J.},
	Pages = {19--50},
	Title = {Weighted inequalities for the dyadic square function without dyadic $A_{\infty}$},
	Volume = {55},
	Year = {1987},
	Bdsk-File-1 = {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}}

@article{Fujii1977,
	Author = {Fujii, Nobuhiko},
	Date-Added = {2020-04-05 22:21:41 +0200},
	Date-Modified = {2020-07-10 12:10:18 +0200},
	Journal = {Math. Japon.},
	Pages = {529--534},
	Title = {Weighted bounded mean oscillation and singular integrals},
	Volume = {22},
	Year = {1977/78}}

@conference{Duoandikoetxea2013,
	Address = {Matfyzpress, Praga},
	Author = {Duoandikoetxea, Javier},
	Date-Added = {2020-04-05 14:06:28 +0200},
	Date-Modified = {2020-07-10 13:49:41 +0200},
	Editor = {Lukes, Jaros\-lav and Pick, Lubos},
	Month = {06},
	Organization = {Spring School on Analysis Paseky},
	Title = {Forty years of Muckenhoupt weights},
	Volume = {Function Spaces and Inequalities, Lecture Notes Paseky nad Jizerou},
	Year = {2013},
	Bdsk-File-1 = {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}}

@phdthesis{Stein1955,
	Author = {Stein, Elias M.},
	Date-Added = {2020-04-05 13:54:07 +0200},
	Date-Modified = {2020-07-10 12:35:34 +0200},
	School = {University of Chicago},
	Title = {On certain operators on $L_p$ spaces},
	Year = {1955}}

@article{Fefferman1971,
	Author = {Fefferman, Charles L. and Stein, Elias M.},
	Date-Added = {2020-04-05 13:51:33 +0200},
	Date-Modified = {2020-07-11 17:17:11 +0200},
	Issn = {00029327, 10806377},
	Journal = {Amer. J. Math.},
	Number = {1},
	Pages = {107--115},
	Publisher = {Johns Hopkins University Press},
	Title = {Some Maximal Inequalities},
	Url = {http://www.jstor.org/stable/2373450},
	Volume = {93},
	Year = {1971},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {http://www.jstor.org/stable/2373450}}

@article{Muckenhoupt1972,
	Author = {Muckenhoupt, Benjamin},
	Date-Added = {2020-04-05 13:40:31 +0200},
	Date-Modified = {2020-07-11 17:46:43 +0200},
	Journal = {Trans. Amer. Math. Soc.},
	Pages = {207--226},
	Publisher = {JSTOR},
	Title = {Weighted norm inequalities for the Hardy maximal function},
	Year = {1972}}

@article{Calderon1976,
	Author = {Calder\'on, Alberto P.},
	Date-Added = {2020-04-04 19:30:15 +0200},
	Date-Modified = {2020-07-11 16:54:28 +0200},
	Journal = {Stud. Math.},
	Number = {3},
	Pages = {297-306},
	Title = {Inequalities for the maximal function relative to a metric},
	Url = {http://eudml.org/doc/218059},
	Volume = {57},
	Year = {1976},
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	Bdsk-Url-1 = {http://eudml.org/doc/218059}}

@inbook{CruzUribe2017,
	Abstract = {The following sections are included: Introduction Preliminaries Dyadic operators Digression: one weight inequalities Testing conditions Bump conditions Separated bump conditions References},
	Author = {Cruz-Uribe, David},
	Booktitle = {Advanced Courses of Mathematical Analysis VI},
	Date-Added = {2020-04-04 19:26:38 +0200},
	Date-Modified = {2020-07-10 13:43:51 +0200},
	Doi = {10.1142/9789813147645_0002},
	Eprint = {https://www.worldscientific.com/doi/pdf/10.1142/9789813147645_0002},
	Pages = {25-85},
	Publisher = {Eds. World Sci. Publ., Hackensack, NJ},
	Title = {Two weight inequalities for fractional integral operators and commutators},
	Url = {https://www.worldscientific.com/doi/abs/10.1142/9789813147645_0002},
	Year = {2017},
	Bdsk-Url-1 = {https://www.worldscientific.com/doi/abs/10.1142/9789813147645_0002},
	Bdsk-Url-2 = {https://doi.org/10.1142/9789813147645_0002}}

@incollection{GarciaCuerva1985,
	Author = {Garc\'ia-Cuerva, Jos\'e and Rubio De Francia, Jos\'e L.},
	Booktitle = {Weighted Norm Inequalities and Related Topics},
	Date-Added = {2020-04-04 19:24:15 +0200},
	Date-Modified = {2020-04-08 12:42:27 +0200},
	Doi = {https://doi.org/10.1016/S0304-0208(08)73082-2},
	Issn = {0304-0208},
	Pages = {ii},
	Publisher = {North-Holland},
	Series = {North-Holland Mathematics Studies},
	Title = {Weighted Norm Inequalities and Related Topics},
	Url = {http://www.sciencedirect.com/science/article/pii/S0304020808730822},
	Volume = {116},
	Year = {1985},
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	Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/S0304020808730822},
	Bdsk-Url-2 = {https://doi.org/10.1016/S0304-0208(08)73082-2}}

@article{Perez1995,
	Author = {P\'erez, Carlos},
	Date-Added = {2020-04-04 19:22:16 +0200},
	Date-Modified = {2020-07-11 17:50:22 +0200},
	Doi = {10.1112/plms/s3-71.1.135},
	Eprint = {https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/plms/s3-71.1.135},
	Journal = {Proc. London Math. Soc.},
	Number = {1},
	Pages = {135-157},
	Title = {On Sufficient Conditions for the Boundedness of the Hardy--Littlewood Maximal Operator between Weighted $L^p$-Spaces with Different Weights},
	Url = {https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/plms/s3-71.1.135},
	Volume = {s3-71},
	Year = {1995},
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	Bdsk-Url-1 = {https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/plms/s3-71.1.135},
	Bdsk-Url-2 = {https://doi.org/10.1112/plms/s3-71.1.135}}

@article{Fernandez2020,
	Author = {Fern\'andez, Emilio and Roncal, Luz},
	Date-Added = {2020-04-04 13:39:23 +0200},
	Date-Modified = {2020-07-11 17:17:58 +0200},
	Doi = {10.1007/s11118-019-09813-8},
	Journal = {Potential Anal.},
	Month = {02},
	Title = {A Decomposition of Calder\'on-Zygmund Type and Some Observations on Differentiation of Integrals on the Infinite-Dimensional Torus},
	Year = {2020},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.1007/s11118-019-09813-8}}

@phdthesis{TesisEmilio,
	Author = {Fern\'andez Moral, Emilio},
	Date-Added = {2020-04-04 13:39:23 +0200},
	Date-Modified = {2020-04-04 13:39:23 +0200},
	School = {Universidad de La Rioja},
	Title = {An\'alisis de Fourier en el toro infinito-dimensional},
	Year = {2019}}

@article{MacManus1998,
	Author = {MacManus, Paul and P\'{e}rez, Carlos},
	Date-Added = {2020-04-04 13:34:15 +0200},
	Date-Modified = {2020-04-04 13:34:15 +0200},
	Doi = {10.1155/S1073792898000099},
	Fjournal = {International Mathematics Research Notices},
	Issn = {1073-7928},
	Journal = {Internat. Math. Res. Notices},
	Month = {January},
	Mrclass = {42B30 (46E35)},
	Mrnumber = {1604816},
	Number = {2},
	Pages = {101--116},
	Title = {Generalized {P}oincar\'{e} inequalities: sharp self-improving properties},
	Url = {https://doi.org/10.1155/S1073792898000099},
	Volume = {1998},
	Year = {1998},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.1155/S1073792898000099}}

@article{Hytoenen2012-2,
	Author = {Hyt\"onen, Tuomas and P\'erez, Carlos and Rela, Ezequiel},
	Date-Added = {2020-04-04 13:18:30 +0200},
	Date-Modified = {2020-07-11 17:31:25 +0200},
	Day = {15},
	Doi = {10.1016/j.jfa.2012.09.013},
	Issn = {0022-1236},
	Journal = {J. Funct. Anal.},
	Keywords = {Space of homogeneous type, Muckenhoupt weights, Reverse Holder, Maximal functions, INEQUALITIES, 111 Mathematics},
	Language = {English},
	Month = {12},
	Number = {12},
	Pages = {3883--3899},
	Publisher = {ACADEMIC PRESS INC ELSEVIER SCIENCE},
	Title = {Sharp Reverse H\"older property for $A_\infty$ weights on spaces of homogeneous type},
	Volume = {263},
	Year = {2012},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.jfa.2012.09.013}}

@book{Duoandikoetxea2001,
	Author = {Duoandikoetxea Zuazo, Javier},
	Date-Added = {2020-04-03 19:49:22 +0200},
	Date-Modified = {2020-04-03 19:49:22 +0200},
	Isbn = {9780821883846},
	Publisher = {American Mathematical Soc.},
	Title = {Fourier Analysis},
	Url = {https://books.google.es/books?id=Lx6P0gyMTgIC},
	Year = {2001},
	Bdsk-Url-1 = {https://books.google.es/books?id=Lx6P0gyMTgIC}}

@phdthesis{Israel2018,
	Author = {{R}ivera-{R}\'ios, Israel P.},
	Date-Added = {2020-04-03 17:22:46 +0200},
	Date-Modified = {2020-07-10 12:16:24 +0200},
	School = {Euskal Herriko Unibertsitatea / Universidad del Pa\'is Vasco},
	Title = {Quantitative weighted estimates for singular integrals and commutators},
	Year = {2018}}

@article{Lerner2015,
	Author = {Lerner, Andrei K. and Nazarov, Fedor},
	Date-Added = {2020-04-03 17:14:41 +0200},
	Date-Modified = {2020-07-11 17:41:17 +0200},
	Doi = {10.1016/j.exmath.2018.01.001},
	Journal = {Expo. Math.},
	Number = {3},
	Pages = {225-265},
	Title = {Intuitive dyadic calculus: The basics},
	Volume = {37},
	Year = {2019},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.exmath.2018.01.001}}

@article{Riesz1932-2,
	Author = {Riesz, Fr\'ed\'eric},
	Date-Added = {2020-04-03 13:25:14 +0200},
	Date-Modified = {2020-07-11 17:52:38 +0200},
	Doi = {10.1112/jlms/s1-7.1.10},
	Eprint = {https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/jlms/s1-7.1.10},
	Journal = {J. Lond. Math. Soc.},
	Number = {1},
	Pages = {10-13},
	Title = {Sur un Th\'eor\`eme de Maximum de Mm. Hardy et Littlewood},
	Url = {https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/jlms/s1-7.1.10},
	Volume = {s1-7},
	Year = {1932},
	Bdsk-Url-1 = {https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/jlms/s1-7.1.10},
	Bdsk-Url-2 = {https://doi.org/10.1112/jlms/s1-7.1.10}}

@article{Riesz1932,
	Author = {Riesz, Fr\'ed\'eric},
	Date-Added = {2020-04-03 13:10:46 +0200},
	Date-Modified = {2020-07-10 12:34:03 +0200},
	Journal = {Acta Sci. Math. Szeged},
	Pages = {208221},
	Title = {Sur l'existence de la d\'eriv\'ee des fonctions monotones et sur quelques probl\'emes qui s'y rattachent},
	Volume = {5},
	Year = {1932},
	Bdsk-File-1 = {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}}

@article{Hormander1960,
	Author = {H\"ormander, Lars},
	Date-Added = {2020-04-03 13:00:54 +0200},
	Date-Modified = {2020-04-03 13:02:51 +0200},
	Journal = {Acta Math.},
	Number = {1-2},
	Pages = {93--140},
	Publisher = {Institut Mittag-Leffler},
	Title = {Estimates for translation invariant operators in $L^p$ spaces},
	Volume = {104},
	Year = {1960},
	Bdsk-Url-1 = {https://doi.org/10.1007/BF02547187}}

@article{Calderon1952,
	Author = {Calder\'on, Alberto P. and Zygmund, Antoni},
	Date-Added = {2020-04-03 12:55:42 +0200},
	Date-Modified = {2020-07-10 11:59:48 +0200},
	Doi = {10.1007/BF02392130},
	Fjournal = {Acta Mathematica},
	Journal = {Acta Math.},
	Pages = {85--139},
	Publisher = {Institut Mittag-Leffler},
	Title = {On the existence of certain singular integrals},
	Url = {https://doi.org/10.1007/BF02392130},
	Volume = {88},
	Year = {1952},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.1007/BF02392130}}

@article{Coifman1977,
	Author = {Coifman, Ronald and Weiss, Guido},
	Date-Added = {2020-04-03 12:25:09 +0200},
	Date-Modified = {2020-07-11 17:07:19 +0200},
	Doi = {10.1090/S0002-9904-1977-14325-5},
	Journal = {Bull. Amer. Math. Soc.},
	Month = {10},
	Title = {Extensions of Hardy Spaces and Their Use in Analysis},
	Volume = {83},
	Year = {1977},
	Bdsk-Url-1 = {https://doi.org/10.1090/S0002-9904-1977-14325-5}}

@article{Fefferman1972,
	Author = {Fefferman, Charles L. and Stein, Elias M.},
	Date-Added = {2020-04-03 12:22:42 +0200},
	Date-Modified = {2020-07-10 12:08:49 +0200},
	Doi = {10.1007/BF02392215},
	Fjournal = {Acta Mathematica},
	Journal = {Acta Math.},
	Pages = {137--193},
	Publisher = {Institut Mittag-Leffler},
	Title = {$H^p$ spaces of several variables},
	Url = {https://doi.org/10.1007/BF02392215},
	Volume = {129},
	Year = {1972},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.1007/BF02392215}}

@article{Burkholder1971,
	Abstract = {Let $u$ be harmonic in the upper half-plane and $0 < p < \infty$. Then $u = \operatorname{Re} F$ for some analytic function $F$ of the Hardy class $H^p$ if and only if the nontangential maximal function of $u$ is in $L^p$. A general integral inequality between the nontangential maximal function of $u$ and that of its conjugate function is established.},
	Author = {Burkholder, Donald Lyman and Gundy, Richard F. and Silverstein, Martin L.},
	Date-Added = {2020-04-03 12:21:16 +0200},
	Date-Modified = {2020-07-11 16:53:17 +0200},
	Issn = {00029947},
	Journal = {Trans. Amer. Math. Soc.},
	Pages = {137--153},
	Publisher = {American Mathematical Society},
	Title = {A Maximal Function Characterization of the Class $H^p$},
	Url = {http://www.jstor.org/stable/1995838},
	Volume = {157},
	Year = {1971},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {http://www.jstor.org/stable/1995838}}

@article{Hytoenen2012,
	Author = {Hyt\"onen, Tuomas and Kairema, Anna},
	Date-Added = {2020-04-02 21:18:18 +0200},
	Date-Modified = {2020-07-11 17:31:17 +0200},
	Journal = {Colloq. Math.},
	Pages = {1--33},
	Title = {Systems of dyadic cubes in a doubling metric space},
	Volume = {126},
	Year = {2012},
	Bdsk-File-1 = {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}}

@article{Nazarov2013,
	Abstract = {We give a proof of the A2 conjecture in geometrically doubling metric spaces (GDMS), that is, a metric space where one can fit no more than a fixed amount of disjoint balls of radius r in a ball of radius 2r. Our proof consists of three main parts: a construction of a random "dyadic" lattice in a metric space; a clever averaging trick from [3], which decomposes a "hard" part of a Calder{\'o}n-Zygmund operator into dyadic shifts (adjusted to metric setting); and the estimates for these dyadic shifts, made in [16] and later in [19].},
	Author = {Nazarov, Fedor and Reznikov, Alexander and Volberg, Alexander},
	Date-Added = {2020-04-02 21:16:26 +0200},
	Date-Modified = {2020-07-11 17:47:45 +0200},
	Issn = {00222518, 19435258},
	Journal = {Indiana U. Math. J.},
	Number = {5},
	Pages = {1503--1533},
	Publisher = {Indiana University Mathematics Department},
	Title = {The Proof of $A_2$ Conjecture in a Geometrically Doubling Metric Space},
	Url = {http://www.jstor.org/stable/24904189},
	Volume = {62},
	Year = {2013},
	Bdsk-Url-1 = {http://www.jstor.org/stable/24904189}}

@book{Grafakos2014,
	Author = {Grafakos, Loukas},
	Date-Added = {2020-04-02 19:55:24 +0200},
	Date-Modified = {2020-07-10 12:13:14 +0200},
	Isbn = {9781493911943},
	Publisher = {Springer New York},
	Series = {Graduate Texts in Mathematics},
	Title = {Classical Fourier Analysis},
	Url = {https://books.google.es/books?id=94FxBQAAQBAJ},
	Year = {2014},
	Bdsk-File-1 = {YnBsaXN0MDDSAQIDBFxyZWxhdGl2ZVBhdGhZYWxpYXNEYXRhXxAcUmVmZXJlbmNpYXMvR3JhZmFrb3MyMDE0LnBkZk8RAXQAAAAAAXQAAgAAAkhEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABCRAAB/////xBHcmFmYWtvczIwMTQucGRmAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD/////AAAAAAAAAAAAAAAAAAEAAwAACiBjdQAAAAAAAAAAAAAAAAALUmVmZXJlbmNpYXMAAAIARC86VXNlcnM6am1hcnRpbmV6OkRyb3Bib3g6VmVyYlRlWDpUZXNpczpSZWZlcmVuY2lhczpHcmFmYWtvczIwMTQucGRmAA4AIgAQAEcAcgBhAGYAYQBrAG8AcwAyADAAMQA0AC4AcABkAGYADwAGAAIASABEABIAQlVzZXJzL2ptYXJ0aW5lei9Ecm9wYm94L1ZlcmJUZVgvVGVzaXMvUmVmZXJlbmNpYXMvR3JhZmFrb3MyMDE0LnBkZgATAAEvAAAVAAIAEP//AAAACAANABoAJABDAAAAAAAAAgEAAAAAAAAABQAAAAAAAAAAAAAAAAAAAbs=},
	Bdsk-Url-1 = {https://books.google.es/books?id=94FxBQAAQBAJ}}

@article{Marcinkiewicz1939,
	Author = {Marcinkiewicz, J\'ozef},
	Date-Added = {2020-04-02 19:38:51 +0200},
	Date-Modified = {2020-07-11 17:45:26 +0200},
	Journal = {C. R. Acad. Sci.},
	Pages = {1272--1273},
	Title = {Sur I'interpolation d'operations},
	Volume = {208},
	Year = {1939}}

@article{Wiener1939,
	Author = {Wiener, Norbert},
	Date-Added = {2020-04-02 18:53:52 +0200},
	Date-Modified = {2020-04-02 18:54:03 +0200},
	Doi = {10.1215/S0012-7094-39-00501-6},
	Fjournal = {Duke Mathematical Journal},
	Journal = {Duke Math. J.},
	Month = {03},
	Number = {1},
	Pages = {1--18},
	Publisher = {Duke University Press},
	Title = {The ergodic theorem},
	Url = {https://doi.org/10.1215/S0012-7094-39-00501-6},
	Volume = {5},
	Year = {1939},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.1215/S0012-7094-39-00501-6}}

@article{Hardy1930,
	Author = {Hardy, Godfrey H. and Littlewood, John E.},
	Date-Added = {2020-04-02 18:51:39 +0200},
	Date-Modified = {2020-07-10 12:14:06 +0200},
	Doi = {10.1007/BF02547518},
	Fjournal = {Acta Mathematica},
	Journal = {Acta Math.},
	Pages = {81--116},
	Publisher = {Institut Mittag-Leffler},
	Title = {A maximal theorem with function-theoretic applications},
	Url = {https://doi.org/10.1007/BF02547518},
	Volume = {54},
	Year = {1930},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.1007/BF02547518}}

@article{Weiss1959,
	Author = {Weiss, Mary and Zygmund, Antoni},
	Date-Added = {2020-04-02 17:44:54 +0200},
	Date-Modified = {2020-07-10 12:37:16 +0200},
	Journal = {Nederl. Akad. Wetensch. Indagationes Math.},
	Number = {Ser. A},
	Pages = {52--58},
	Title = {A note on smooth functions},
	Volume = {62},
	Year = {1959},
	Bdsk-File-1 = {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}}

@article{Accomazzo2017,
	Author = {Accomazzo, Natalia and Mart\'inez--Perales, Javier C. and {R}ivera-{R}\'ios, Israel P},
	Date-Added = {2020-04-02 17:04:15 +0200},
	Date-Modified = {2020-07-06 12:21:36 +0200},
	Journal = {\href{http://www.iumj.indiana.edu/IUMJ/fulltext.php?artid=7959&year=2020&volume=69}{Indiana U. Math. J.}},
	Number = {4},
	Pages = {1207--1230},
	Title = {On Bloom type estimates for iterated commutators of fractional integrals},
	Volume = {69},
	Year = {2020},
	Bdsk-File-1 = {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}}

@article{Lerner2018,
	Author = {Lerner, Andrei K. and Ombrosi, Sheldy and Rivera-R\'ios, Israel Pablo},
	Date-Added = {2020-04-02 17:00:28 +0200},
	Date-Modified = {2020-07-11 17:42:24 +0200},
	Doi = {10.1112/blms.12216},
	Journal = {Bull. Lond. Math. Soc.},
	Month = {09},
	Number = {1},
	Title = {Commutators of singular integrals revisited},
	Volume = {51},
	Year = {2019},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.1112/blms.12216}}

@article{Lerner2017,
	Abstract = {In recent years, it has been well understood that a Calder{\'o}n--Zygmund operator T is pointwise controlled by a finite number of dyadic operators of a very simple structure (called the sparse operators). We obtain a similar pointwise estimate for the commutator [b,T] with a locally integrable function b. This result is applied into two directions. If b∈BMO, we improve several weighted weak type bounds for [b,T]. If b belongs to the weighted BMO, we obtain a quantitative form of the two-weighted bound for [b,T] due to Bloom--Holmes--Lacey--Wick.},
	Author = {Lerner, Andrei K. and Ombrosi, Sheldy and Rivera-R\'ios, Israel P.},
	Date-Added = {2020-04-02 16:57:51 +0200},
	Date-Modified = {2020-07-11 17:41:40 +0200},
	Doi = {https://doi.org/10.1016/j.aim.2017.08.022},
	Issn = {0001-8708},
	Journal = {Advances in Math.},
	Keywords = {Commutators, Calder{\'o}n--Zygmund operators, Sparse operators, Weighted inequalities},
	Pages = {153 - 181},
	Title = {On pointwise and weighted estimates for commutators of Calder{\'o}n--Zygmund operators},
	Url = {http://www.sciencedirect.com/science/article/pii/S0001870816304832},
	Volume = {319},
	Year = {2017},
	Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/S0001870816304832},
	Bdsk-Url-2 = {https://doi.org/10.1016/j.aim.2017.08.022}}

@article{Holmes2017,
	Author = {Holmes, Irina and Lacey, Michael T. and Wick, Brett D.},
	Date-Added = {2020-04-02 16:29:41 +0200},
	Date-Modified = {2020-07-11 17:28:29 +0200},
	Doi = {10.1007/s00208-016-1378-1},
	Journal = {Math. Ann.},
	Month = {2},
	Number = {1-2},
	Pages = {51--80},
	Publisher = {Springer Nature},
	Title = {Commutators in the two-weight setting},
	Volume = {367},
	Year = {2017},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.1007/s00208-016-1378-1}}

@article{GarciaCuerva1991,
	Author = {Garc\'ia-Cuerva, Jos\'e and Harboure, Eleonor and Segovia, Carlos and Torrea, Jos{\'e} L.},
	Date-Added = {2020-04-02 16:27:34 +0200},
	Date-Modified = {2020-07-11 17:19:45 +0200},
	Doi = {10.1512/iumj.1991.40.40063},
	Journal = {Indiana U. Math. J.},
	Month = {12},
	Title = {Weighted norm inequalities for commutators of strongly singular integrals},
	Volume = {40},
	Year = {1991},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.1512/iumj.1991.40.40063}}

@article{Bloom1985,
	Author = {Bloom, Steven},
	Date-Added = {2020-04-02 16:22:33 +0200},
	Date-Modified = {2020-07-11 16:48:01 +0200},
	Doi = {10.1090/s0002-9947-1985-0805955-5},
	Journal = {Trans. Amer. Math. Soc.},
	Month = {1},
	Number = {1},
	Pages = {103--103},
	Publisher = {American Mathematical Society ({AMS})},
	Title = {A commutator theorem and weighted $\mathrm{BMO}$},
	Volume = {292},
	Year = {1985},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.1090/s0002-9947-1985-0805955-5}}

@book{GarciaCuerva1979,
	Author = {Garc\'ia-Cuerva, Jos\'e},
	Date-Added = {2020-04-02 16:15:49 +0200},
	Date-Modified = {2020-07-10 12:10:37 +0200},
	Keywords = {maximal function; building blocks; homogeneous space},
	Language = {eng},
	Location = {Warszawa},
	Publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
	Title = {Weighted $H^p$ spaces},
	Url = {http://eudml.org/doc/268606},
	Year = {1979},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {http://eudml.org/doc/268606}}

@article{Muckenhoupt1976,
	Author = {Muckenhoupt, Benjamin and Wheeden, Richard L.},
	Date-Added = {2020-04-02 16:07:41 +0200},
	Date-Modified = {2020-07-11 17:47:03 +0200},
	Journal = {Stud. Math.},
	Language = {eng},
	Number = {3},
	Pages = {221-237},
	Title = {Weighted bounded mean oscillation and the Hilbert transform},
	Url = {http://eudml.org/doc/217982},
	Volume = {54},
	Year = {1976},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {http://eudml.org/doc/217982}}

@article{John1961,
	Author = {John, Fritz and Nirenberg, Louis},
	Date-Added = {2020-04-02 16:03:20 +0200},
	Date-Modified = {2020-07-11 17:37:04 +0200},
	Doi = {10.1002/cpa.3160140317},
	Eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/cpa.3160140317},
	Journal = {Comm. Pure Appl. Math.},
	Number = {3},
	Pages = {415-426},
	Title = {On functions of bounded mean oscillation},
	Url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/cpa.3160140317},
	Volume = {14},
	Year = {1961},
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	Bdsk-Url-2 = {https://doi.org/10.1002/cpa.3160140317}}

@article{Ombrosi2019,
	Author = {{O}mbrosi, {S}heldy and {P}\'erez, {C}arlos and {R}ela, {E}zequiel and {R}ivera-{R}\'ios, Israel P.},
	Date-Added = {2020-04-02 15:54:12 +0200},
	Date-Modified = {2020-07-11 17:49:29 +0200},
	Journal = {Isr. J. Math.},
	Title = {A note on generalized {F}ujii-{W}ilson conditions and $\mathrm{BMO}$ spaces},
	Year = {2020},
	Bdsk-File-1 = {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}}

@article{Duran2009,
	Author = {Dur\'{a}n, Ricardo G. and Muschietti, Maria Amelia and Russ, Emmanuel and Tcha\-mitchian, Philippe},
	Date-Added = {2020-04-01 17:24:13 +0200},
	Date-Modified = {2020-07-11 17:11:05 +0200},
	Doi = {10.1080/17476931003786659},
	Journal = {Complex Var. Elliptic},
	Month = {06},
	Title = {Divergence operator and Poincare inequalities on arbitrary bounded domains},
	Volume = {55},
	Year = {2009},
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	Bdsk-Url-1 = {https://doi.org/10.1080/17476931003786659}}

@article{Buckley1995-3,
	Author = {Buckley, Stephen and Koskela, Pekka},
	Date-Added = {2020-04-01 16:55:47 +0200},
	Date-Modified = {2020-04-01 16:55:58 +0200},
	Journal = {Math. Res. Lett.},
	Pages = {577-593},
	Title = {Sobolev-Poincar\'e implies John},
	Volume = {2},
	Year = {1995},
	Bdsk-File-1 = {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}}

@article{Perez1994,
	Author = {P\'erez, Carlos},
	Coden = {IUMJAB},
	Date-Added = {2020-04-01 14:58:36 +0200},
	Date-Modified = {2020-04-01 14:58:36 +0200},
	Fjournal = {Indiana University Mathematics Journal},
	Issn = {0022-2518},
	Issue = {2},
	Journal = {Indiana Univ. Math. J.},
	Pages = {663--683},
	Title = {Two Weighted Inequalities for Potential and Fractional Type Maximal Operators},
	Volume = {43},
	Year = {1994}}

@article{Sawyer1992,
	Author = {Sawyer, Eric and Wheeden, Richard L.},
	Date-Added = {2020-04-01 14:58:31 +0200},
	Date-Modified = {2020-04-01 14:58:31 +0200},
	Issn = {00029327, 10806377},
	Journal = {Amer. J. Math.},
	Number = {4},
	Pages = {813--874},
	Publisher = {Johns Hopkins University Press},
	Title = {Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces},
	Url = {http://www.jstor.org/stable/2374799},
	Volume = {114},
	Year = {1992},
	Bdsk-Url-1 = {http://www.jstor.org/stable/2374799}}

@article{Fefferman1983,
	Author = {Fefferman, Charles L.},
	Date-Added = {2020-04-01 14:58:21 +0200},
	Date-Modified = {2020-04-01 14:58:21 +0200},
	Fjournal = {Bulletin (New Series) of the American Mathematical Society},
	Groups = {[Javi:]},
	Journal = {Bull. Amer. Math. Soc. (N.S.)},
	Month = {09},
	Number = {2},
	Pages = {129--206},
	Publisher = {American Mathematical Society},
	Title = {The uncertainty principle},
	Url = {https://projecteuclid.org:443/euclid.bams/1183551116},
	Volume = {9},
	Year = {1983},
	Bdsk-Url-1 = {https://projecteuclid.org:443/euclid.bams/1183551116}}

@article{Martinez2020,
	Archiveprefix = {arXiv},
	Eprint = {1907.12435v1},
	Primaryclass = {math.CA},
	Author = {Mart\'inez--Perales, Javier C},
	Journal = {Ann. Acad. Sci. Fenn. Math.},
	Volume = {46}
	Title = {A note on generalized Poincar\'e-type inequalities with applications to weighted improved Poincar\'e-type inequalities},
	Year = {2021}}

@article{Cejas2019,
	Author = {Cejas, Eugenia and Drelichman, Irene and Mart\'inez--Perales, Javier C},
	Date-Added = {2020-04-01 13:41:57 +0200},
	Date-Modified = {2020-07-11 17:02:39 +0200},
	Journal = {Ark. Mat.},
	Month = oct,
	Number = {2},
	Pages = {285--316},
	Rating = {0},
	Title = {{I}mproved fractional {P}oincar\'e type inequalities on {J}ohn domains},
	Volume = {57},
	Year = {2019},
	Archiveprefix = {arXiv},
	Eprint = {1902.10578}, 
	class = {math.CA}}


@book{Boman1982,
	Author = {Boman, Jan},
	Date-Added = {2020-04-01 13:32:34 +0200},
	Date-Modified = {2020-04-01 13:32:34 +0200},
	Publisher = {University of Stockholm, Sweden},
	Series = {Reports: Matematiska Institutionen},
	Title = {$L^p$-estimates for Very Strongly Elliptic Systems},
	Url = {https://books.google.es/books?id=GZG4mgEACAAJ},
	Year = {1982},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://books.google.es/books?id=GZG4mgEACAAJ}}

@article{Iwaniec1985,
	Author = {Iwaniec, Tadeusz and Nolder, Craig A.},
	Date-Added = {2020-04-01 13:28:56 +0200},
	Date-Modified = {2020-04-01 13:28:56 +0200},
	Journal = {Ann. Acad. Sci. Fenn. Ser. A. I. Math.},
	Pages = {267-282},
	Title = {Hardy-Littlewood inequality for quasiregular mappings in certain domains in $\mathbb{R}^n$},
	Volume = {10},
	Year = {1985},
	Bdsk-File-1 = {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},
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@inproceedings{Buckley1995-2,
	Author = {Buckley, Stephen and Koskela, Pekka and Lu, Guozhen},
	Date-Added = {2020-04-01 12:34:11 +0200},
	Date-Modified = {2020-07-11 16:52:53 +0200},
	Institution = {Proceedings of the XVI Rolf Nevanlinna Colloquium (Joensuu)},
	Title = {Boman equals John},
	Year = {1995},
	Bdsk-File-1 = {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}}

@article{Meyers1978,
	Author = {Meyers, Norman G.},
	Da = {1978/06/01},
	Date-Added = {2020-03-31 17:17:52 +0200},
	Date-Modified = {2020-08-11 20:21:01 +0200},
	Doi = {10.1007/BF00281405},
	Id = {Meyers1978},
	Isbn = {1432-0673},
	Journal = {Arch. Ration. Mech. Anal.},
	Number = {2},
	Pages = {113--120},
	Title = {Integral inequalities of Poincar\'e and Wirtinger type},
	Ty = {JOUR},
	Url = {https://doi.org/10.1007/BF00281405},
	Volume = {68},
	Year = {1978},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.1007/BF00281405}}

@article{Ziemer1986,
	Author = {Ziemer, William},
	Date-Added = {2020-03-31 15:46:40 +0200},
	Date-Modified = {2020-07-11 17:59:11 +0200},
	Doi = {10.2307/2046515},
	Journal = {Proc. Amer. Math. Soc.},
	Month = {02},
	Title = {A Poincar\'e-Type Inequality for Solutions of Elliptic Differential Equations},
	Volume = {97},
	Year = {1986},
	Bdsk-File-1 = {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},
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	Bdsk-Url-1 = {https://doi.org/10.2307/2046515}}

@article{Boas1988,
	Abstract = {The Poincar{\'e} inequality $\|u\|_p \leq C\|\nablau\|_p$ in a bounded domain holds, for instance, for compactly supported functions, for functions with mean value zero and for harmonic functions vanishing at a point. We show that it can be improved to $\|u\|_p \leq C\|\delta^\beta\nablau\|_p$, where $\delta$ is the distance to the boundary, and the positive exponent $\beta$ depends on the smoothness of the boundary.},
	Author = {Boas, Harold P. and Straube, Emil J.},
	Date-Added = {2020-03-31 12:08:38 +0200},
	Date-Modified = {2020-07-11 16:48:23 +0200},
	Issn = {00029939, 10886826},
	Journal = {Proc. Amer. Math. Soc.},
	Number = {1},
	Pages = {172--176},
	Publisher = {American Mathematical Society},
	Title = {Integral Inequalities of Hardy and Poincar\'e Type},
	Url = {http://www.jstor.org/stable/2047547},
	Volume = {103},
	Year = {1988},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {http://www.jstor.org/stable/2047547}}

@article{Edmunds1993,
	Author = {Edmunds, David E. and Opic, Bohumir},
	Date-Added = {2020-03-31 11:31:13 +0200},
	Date-Modified = {2020-07-11 17:14:11 +0200},
	Doi = {10.1112/jlms/s2-47.1.79},
	Eprint = {https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/jlms/s2-47.1.79},
	Journal = {J. Lond. Math. Soc.},
	Number = {1},
	Pages = {79-96},
	Title = {Weighted Poincar\'e and Friedrichs Inequalities},
	Url = {https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/jlms/s2-47.1.79},
	Volume = {s2-47},
	Year = {1993},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.1112/jlms/s2-47.1.79}}

@article{Ojala2011,
	Author = {Ojala, Tuomo and Rajala, Tapio and Suomala, Ville},
	Date-Added = {2020-03-30 18:12:30 +0200},
	Date-Modified = {2020-07-11 17:47:52 +0200},
	Doi = {10.4064/sm208-3-1},
	Journal = {Stud. Math.},
	Month = {03},
	Title = {Thin and fat sets for doubling measures in metric spaces},
	Volume = {208},
	Year = {2011},
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@article{Duoandikoetxea2016,
	Author = {Duoandikoetxea, Javier and Mart\'{\i}n-Reyes, Francisco J. and Ombrosi, Sheldy},
	Date-Added = {2020-03-09 17:06:38 +0100},
	Date-Modified = {2020-03-09 17:06:50 +0100},
	Doi = {10.1007/s00209-015-1572-y},
	Fjournal = {Mathematische Zeitschrift},
	Issn = {0025-5874},
	Journal = {Math. Z.},
	Mrclass = {42B25},
	Mrnumber = {3473651},
	Mrreviewer = {Albert Mas},
	Number = {3-4},
	Pages = {955--972},
	Title = {On the {$A_\infty$} conditions for general bases},
	Url = {https://doi.org/10.1007/s00209-015-1572-y},
	Volume = {282},
	Year = {2016},
	Bdsk-File-1 = {YnBsaXN0MDDSAQIDBFxyZWxhdGl2ZVBhdGhZYWxpYXNEYXRhXxAiUmVmZXJlbmNpYXMvRHVvYW5kaWtvZXR4ZWEyMDE2LnBkZk8RAYwAAAAAAYwAAgAAAkhEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABCRAAB/////xZEdW9hbmRpa29ldHhlYTIwMTYucGRmAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD/////AAAAAAAAAAAAAAAAAAEAAwAACiBjdQAAAAAAAAAAAAAAAAALUmVmZXJlbmNpYXMAAAIASi86VXNlcnM6am1hcnRpbmV6OkRyb3Bib3g6VmVyYlRlWDpUZXNpczpSZWZlcmVuY2lhczpEdW9hbmRpa29ldHhlYTIwMTYucGRmAA4ALgAWAEQAdQBvAGEAbgBkAGkAawBvAGUAdAB4AGUAYQAyADAAMQA2AC4AcABkAGYADwAGAAIASABEABIASFVzZXJzL2ptYXJ0aW5lei9Ecm9wYm94L1ZlcmJUZVgvVGVzaXMvUmVmZXJlbmNpYXMvRHVvYW5kaWtvZXR4ZWEyMDE2LnBkZgATAAEvAAAVAAIAEP//AAAACAANABoAJABJAAAAAAAAAgEAAAAAAAAABQAAAAAAAAAAAAAAAAAAAdk=}}

@article{Buckley1993,
	Author = {Buckley, Stephen M.},
	Date-Added = {2020-03-06 19:04:55 +0100},
	Date-Modified = {2020-03-06 19:05:55 +0100},
	Journal = {Trans. Amer. Math. Soc.},
	Number = {1},
	Pages = {253--272},
	Title = {Estimates for operator norms on weighted spaces and reverse {J}ensen inequalities},
	Volume = {340},
	Year = {1993},
	Bdsk-File-1 = {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}}

@article{Fefferman1974,
	Abstract = {A nonnegative function on the real line satisfies the condition A∞ if, given $\epsilon > 0$, there exists a $\delta > 0$ such that if I is an interval, $E \subset I$, and $|E| < \delta|I|$, then ∫E W ≤ ε ∫I W. A nonnegative function on the real line satisfies the condition A if for every interval I, ∫2I W ≤ C ∫I W, where 2I is the interval with the same center as I and twice as long, and C is independent of I. An example is given of a function that satisfies A but not A∞.},
	Author = {Fefferman, Charles L. and Muckenhoupt, Benjamin},
	Date-Added = {2020-03-06 18:53:01 +0100},
	Date-Modified = {2020-07-11 17:17:29 +0200},
	Issn = {00029939, 10886826},
	Journal = {Proc. Amer. Math. Soc.},
	Number = {1},
	Pages = {99--104},
	Publisher = {American Mathematical Society},
	Title = {Two Nonequivalent Conditions for Weight Functions},
	Url = {http://www.jstor.org/stable/2040615},
	Volume = {45},
	Year = {1974},
	Bdsk-File-1 = {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}}

@article{Orobitg2002,
	Author = {Orobitg, Joan and P\'erez, Carlos},
	Date-Added = {2020-03-06 18:46:23 +0100},
	Date-Modified = {2020-03-06 18:47:45 +0100},
	Journal = {Trans. Amer. Math. Soc.},
	Pages = {2013--2033},
	Title = {$A_p$ weights for nondoubling measures in $\mathbb{R}^n$ and applications},
	Volume = {354},
	Year = {2002},
	Bdsk-File-1 = {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}}

@article{Luda2013,
	Author = {Korobenko, Lyudmila and Maldonado, Diego and Rios, Cristian},
	Date-Added = {2020-03-06 18:38:41 +0100},
	Date-Modified = {2020-07-11 17:43:29 +0200},
	Doi = {10.1090/S0002-9939-2015-12556-7},
	Journal = {Proc. Amer. Math. Soc.},
	Month = {12},
	Title = {From Sobolev Inequality to Doubling},
	Volume = {143},
	Year = {2013},
	Bdsk-File-1 = {YnBsaXN0MDDSAQIDBFxyZWxhdGl2ZVBhdGhZYWxpYXNEYXRhXxASLi4vMTMxMi4wMjc3LTEucGRmTxEBSgAAAAABSgACAAACSEQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEJEAAH/////DzEzMTIuMDI3Ny0xLnBkZgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP////8AAAAAAAAAAAAAAAAAAQABAAAKIGN1AAAAAAAAAAAAAAAAAAdWZXJiVGVYAAACADEvOlVzZXJzOmptYXJ0aW5lejpEcm9wYm94OlZlcmJUZVg6MTMxMi4wMjc3LTEucGRmAAAOACAADwAxADMAMQAyAC4AMAAyADcANwAtADEALgBwAGQAZgAPAAYAAgBIAEQAEgAvVXNlcnMvam1hcnRpbmV6L0Ryb3Bib3gvVmVyYlRlWC8xMzEyLjAyNzctMS5wZGYAABMAAS8AABUAAgAQ//8AAAAIAA0AGgAkADkAAAAAAAACAQAAAAAAAAAFAAAAAAAAAAAAAAAAAAABhw==}}

@article{Chanillo1985,
	Author = {Chanillo, Sagun and Wheeden, Richard L.},
	Date-Added = {2020-03-06 18:32:24 +0100},
	Date-Modified = {2020-07-11 17:03:06 +0200},
	Issn = {00029327, 10806377},
	Journal = {Am. J. Math.},
	Number = {5},
	Pages = {1191--1226},
	Publisher = {Johns Hopkins University Press},
	Title = {Weighted Poincar\'e and Sobolev Inequalities and Estimates for Weighted Peano Maximal Functions},
	Url = {http://www.jstor.org/stable/2374351},
	Volume = {107},
	Year = {1985},
	Bdsk-File-1 = {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}}

@article{Bjorn2001,
	Author = {Bj\"orn, Jana},
	Date-Added = {2020-03-06 18:31:02 +0100},
	Date-Modified = {2020-07-11 16:46:53 +0200},
	Journal = {Ann. Acad. Sci. Fenn. Math.},
	Month = {01},
	Pages = {175-188},
	Title = {Poincar\'e inequalities for powers and products of admissible weights},
	Volume = {26},
	Year = {2001},
	Bdsk-File-1 = {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}}

@article{Kilpelainen2013,
	Author = {Kilpel\"ainen, Tero and Koskela, Pekka and Masaoka, Hiroaki},
	Date-Added = {2020-03-06 18:27:58 +0100},
	Date-Modified = {2020-07-11 17:38:04 +0200},
	Doi = {10.1090/S0002-9939-2015-12416-1},
	Journal = {Proc. Amer. Math. Soc.},
	Month = {12},
	Title = {Lattice property of $p$-admissible weights},
	Year = {2013},
	Bdsk-File-1 = {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}}

@article{Heinonen1995,
	Author = {Heinonen, Juha and Koskela, Pekka},
	Date-Added = {2020-03-06 18:25:45 +0100},
	Date-Modified = {2020-07-11 17:25:06 +0200},
	Doi = {10.7146/math.scand.a-12564},
	Journal = {Math. Scand.},
	Month = {Dec.},
	Pages = {251-271},
	Title = {Weighted Sobolev and Poincar{\'e} Inequalities and Quasiregular Mappings of Polynomial Type.},
	Url = {https://www.mscand.dk/article/view/12564},
	Volume = {77},
	Year = {1995},
	Bdsk-Url-1 = {https://www.mscand.dk/article/view/12564},
	Bdsk-Url-2 = {https://doi.org/10.7146/math.scand.a-12564}}

@article{Bjorn2006,
	Author = {Bj\"orn, Jana and Buckley, Stephen M. and Keith, Stephen},
	Date-Added = {2020-03-06 18:21:34 +0100},
	Date-Modified = {2020-07-11 16:47:49 +0200},
	Doi = {10.1090/S0002-9939-05-07925-6},
	Journal = {Proc. Amer. Math. Soc.},
	Month = {03},
	Pages = {703-705},
	Title = {Admissible measures in one dimension},
	Volume = {134},
	Year = {2006},
	Bdsk-File-1 = {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}}

@book{Jost2002,
	Author = {Jost, J\"{u}rgen},
	Date-Added = {2020-03-06 18:13:51 +0100},
	Date-Modified = {2020-03-06 18:14:03 +0100},
	Isbn = {0-387-95428-7},
	Mrclass = {35-01 (35A05 35B50 35J15 35K10 35L10)},
	Mrnumber = {1919991},
	Mrreviewer = {Alain Brillard},
	Note = {Translated and revised from the 1998 German original by the author},
	Pages = {xii+325},
	Publisher = {Springer-Verlag, New York},
	Series = {Graduate Texts in Mathematics},
	Title = {Partial differential equations},
	Volume = {214},
	Year = {2002},
	Bdsk-File-1 = {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}}

@article{Perez2019,
	Author = {P\'erez, Carlos and Rela, Ezequiel},
	Date-Added = {2020-03-06 18:00:11 +0100},
	Date-Modified = {2020-07-11 17:50:37 +0200},
	Journal = {Trans. Amer. Math. Soc.},
	Number = {9},
	Pages = {6087--6133},
	Title = {Degenerate Poincar\'e-Sobolev inequalities},
	Volume = {327},
	Year = {2019},
	Bdsk-File-1 = {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}}

@article{Saloff1992,
	Author = {Saloff-Coste, Laurent},
	Date-Added = {2020-03-06 17:56:29 +0100},
	Date-Modified = {2020-07-11 17:56:38 +0200},
	Doi = {10.1155/S1073792892000047},
	Eprint = {http://oup.prod.sis.lan/imrn/article-pdf/1992/2/27/6767939/1992-2-27.pdf},
	Issn = {1073-7928},
	Journal = {Int. Math. Res. Not.},
	Month = {01},
	Number = {2},
	Pages = {27-38},
	Title = {A note on Poincar\'e, Sobolev, and Harnack inequalities},
	Url = {https://doi.org/10.1155/S1073792892000047},
	Volume = {1992},
	Year = {1992},
	Bdsk-File-1 = {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}}

@article{Fabes1982,
	Author = {Fabes, Eugene B. and Kenig, Carlos E. and Serapioni, Raul},
	Date-Added = {2020-03-06 17:55:02 +0100},
	Date-Modified = {2020-07-11 17:16:37 +0200},
	Doi = {10.1080/03605308208820218},
	Journal = {Commun. Part. Diff. Eq.},
	Month = {01},
	Pages = {77-116},
	Title = {The local regularity of degenerate elliptic equations},
	Volume = {7},
	Year = {1982},
	Bdsk-File-1 = {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}}

@book{Heinonen2012,
	Author = {Heinonen, Juha and Kilpel\"ainen, Tero and Martio, Olli},
	Date-Added = {2020-03-06 17:47:16 +0100},
	Date-Modified = {2020-03-06 17:47:46 +0100},
	Isbn = {9780486149257},
	Publisher = {Dover Publications},
	Series = {Dover Books on Mathematics},
	Title = {Nonlinear Potential Theory of Degenerate Elliptic Equations},
	Url = {https://books.google.es/books?id=pp0HXuZd7R8C},
	Year = {2012},
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@article{Moser1960,
	Author = {Moser, J\"{u}rgen},
	Date-Added = {2020-03-06 16:32:22 +0100},
	Date-Modified = {2020-03-06 16:32:29 +0100},
	Doi = {10.1002/cpa.3160130308},
	Fjournal = {Communications on Pure and Applied Mathematics},
	Issn = {0010-3640},
	Journal = {Comm. Pure Appl. Math.},
	Mrclass = {35.42},
	Mrnumber = {170091},
	Mrreviewer = {G. L. Tautz},
	Pages = {457--468},
	Title = {A new proof of {D}e {G}iorgi's theorem concerning the regularity problem for elliptic differential equations},
	Url = {https://doi.org/10.1002/cpa.3160130308},
	Volume = {13},
	Year = {1960},
	Bdsk-File-1 = {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}}

@article{Komkov1983,
	Author = {Komkov, Vadim},
	Date-Added = {2020-03-06 16:03:36 +0100},
	Date-Modified = {2020-07-11 17:39:03 +0200},
	Doi = {10.1080/0020739830140601},
	Eprint = {https://doi.org/10.1080/0020739830140601},
	Journal = {Internat. J. Math. Ed. Sci. Tech.},
	Number = {6},
	Pages = {661-668},
	Publisher = {Taylor & Francis},
	Title = {Euler's buckling formula and Wirtinger's inequality},
	Url = {https://doi.org/10.1080/0020739830140601},
	Volume = {14},
	Year = {1983},
	Bdsk-Url-1 = {https://doi.org/10.1080/0020739830140601}}

@article{Mitrinovic1977,
	Author = {Mitrinovi\'{c}, Dragoslav S. and Vasi\'{c}, Petar M.},
	Date-Added = {2020-03-06 13:49:33 +0100},
	Date-Modified = {2020-03-06 13:49:43 +0100},
	Fjournal = {Univerzitet u Beogradu. Publikacije Elektrotehni\v{c}kog Fakulteta. Serija Matematika i Fizika},
	Issn = {0522-8441},
	Journal = {Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz.},
	Mrclass = {26A86 (46E30)},
	Mrnumber = {0447507},
	Mrreviewer = {R. P. Boas, Jr.},
	Number = {577-598},
	Pages = {3--10},
	Title = {Addenda to: {\it {A}nalytic inequalities} ({S}pringer, {N}ew {Y}ork, 1970) by {D}. {S}. {M}itrinovi\'{c}. {I}},
	Year = {1977}}

@article{Poincare1894,
	Author = {Poincar\'e, Henri},
	Date-Added = {2020-03-06 13:46:48 +0100},
	Date-Modified = {2020-03-06 13:48:11 +0100},
	Journal = {Rend. Circ. Mat. Palermo},
	Pages = {57--156},
	Title = {Sur les \'equations de la physique math\'ematique},
	Volume = {8},
	Year = {1894}}

@article{Schwarz1885,
	Author = {Schwarz, Hermann Amandus},
	Date-Added = {2020-03-06 13:43:30 +0100},
	Date-Modified = {2020-03-06 13:45:52 +0100},
	Journal = {Acta. Soc. Sci. Fenn.},
	Pages = {315--362},
	Title = {\"Uber ein die Fl\"achen kleinsten Fl\"acheninhalts betreffendes Problem der Variationsrechnung},
	Volume = {15},
	Year = {1885}}

@book{Picard1896,
	Author = {Picard, \'{E}mile},
	Date-Added = {2020-03-06 13:33:03 +0100},
	Date-Modified = {2020-03-06 16:05:45 +0100},
	Isbn = {2-87647-075-6},
	Mrclass = {01A75 (00A05)},
	Mrnumber = {1188644},
	Pages = {ix+661},
	Publisher = {\'{E}ditions Jacques Gabay, Sceaux},
	Series = {Les Grands Classiques Gauthier-Villars.},
	Title = {Trait\'{e} d'analyse. {T}ome {III}},
	Year = {1896}}

@article{Almansi1906,
	Author = {Almansi, Emilio},
	Da = {1906/12/01},
	Date-Added = {2020-03-06 13:29:22 +0100},
	Date-Modified = {2020-07-11 16:05:26 +0200},
	Doi = {10.1007/BF02419494},
	Id = {Almansi1906},
	Isbn = {0373-3114},
	Journal = {Ann. Mat. Pura Appl.},
	Number = {1},
	Pages = {1--17},
	Title = {Sopra una delle esperienze del Plateau},
	Ty = {JOUR},
	Url = {https://doi.org/10.1007/BF02419494},
	Volume = {12},
	Year = {1906},
	Bdsk-File-1 = {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}}

@book{Blaschke1956,
	Author = {Blaschke, Wilhelm},
	Date-Added = {2020-03-06 13:25:56 +0100},
	Date-Modified = {2020-03-06 13:26:03 +0100},
	Mrclass = {52.0X},
	Mrnumber = {0077958},
	Mrreviewer = {H. Busemann},
	Note = {2te Aufl},
	Pages = {viii+167},
	Publisher = {Walter de Gruyter \& Co., Berlin},
	Title = {Kreis und {K}ugel},
	Year = {1956}}

@book{Beckenbach1965,
	Author = {Beckenbach, Edwin F. and Bellman, Richard},
	Date-Added = {2020-03-06 13:24:23 +0100},
	Date-Modified = {2020-03-06 13:24:33 +0100},
	Mrclass = {26.70 (26.00)},
	Mrnumber = {0192009},
	Mrreviewer = {J. Acz\'{e}l},
	Pages = {xi+198},
	Publisher = {Springer-Verlag, New York, Inc.},
	Series = {Second revised printing. Ergebnisse der Mathematik und ihrer Grenzgebiete. Neue Folge, Band 30},
	Title = {Inequalities},
	Year = {1965}}

@book{Hardy1952,
	Author = {Hardy, Godfrey H. and Littlewood, John E. and P\'{o}lya, George},
	Date-Added = {2020-03-06 13:22:47 +0100},
	Date-Modified = {2020-03-06 16:12:03 +0100},
	Mrclass = {27.0X},
	Mrnumber = {0046395},
	Note = {2d ed},
	Pages = {xii+324},
	Publisher = {Cambridge, at the University Press},
	Title = {Inequalities},
	Year = {1952}}

@article{Bonnefont2016,
	Author = {Bonnefont, Michel and Joulin, Ald{\'e}ric and Ma, Yutao},
	Date-Added = {2020-03-06 13:06:00 +0100},
	Date-Modified = {2020-07-11 16:50:29 +0200},
	Journal = {ESAIM-Probab. Stat.},
	Pages = {18--29},
	Publisher = {EDP Sciences},
	Title = {A note on spectral gap and weighted Poincar{\'e} inequalities for some one-dimensional diffusions},
	Volume = {20},
	Year = {2016},
	Bdsk-File-1 = {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}}

@article{Nash1957,
	Author = {Nash, John},
	Date-Added = {2020-03-06 13:03:18 +0100},
	Date-Modified = {2020-03-06 13:03:24 +0100},
	Doi = {10.1073/pnas.43.8.754},
	Fjournal = {Proceedings of the National Academy of Sciences of the United States of America},
	Issn = {0027-8424},
	Journal = {Proc. Nat. Acad. Sci. U.S.A.},
	Mrclass = {35.0X},
	Mrnumber = {89986},
	Mrreviewer = {E. T. Copson},
	Pages = {754--758},
	Title = {Parabolic equations},
	Url = {https://doi.org/10.1073/pnas.43.8.754},
	Volume = {43},
	Year = {1957},
	Bdsk-File-1 = {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}}

@article{Buckley1995,
	Author = {Buckley, Stephen M. and Koskela, Pekka and Lu, Guozhen},
	Date-Added = {2020-03-06 12:59:18 +0100},
	Date-Modified = {2020-03-06 16:10:27 +0100},
	Doi = {10.5565/PUBLMAT_39295_08},
	Fjournal = {Publicacions Matem\`atiques},
	Issn = {0214-1493},
	Journal = {Publ. Mat.},
	Mrclass = {35H05 (26D10 35B45 46E35)},
	Mrnumber = {1370889},
	Mrreviewer = {Marco Bramanti},
	Number = {2},
	Pages = {313--334},
	Title = {Subelliptic {P}oincar\'{e} inequalities: the case {$p<1$}},
	Url = {https://doi.org/10.5565/PUBLMAT_39295_08},
	Volume = {39},
	Year = {1995},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.5565/PUBLMAT_39295_08}}

@article{Buckley1994,
	Author = {Buckley, Stephen M. and Koskela, Pekka},
	Date-Added = {2020-03-06 12:57:59 +0100},
	Date-Modified = {2020-03-06 12:58:06 +0100},
	Doi = {10.1512/iumj.1994.43.43011},
	Fjournal = {Indiana University Mathematics Journal},
	Issn = {0022-2518},
	Journal = {Indiana Univ. Math. J.},
	Mrclass = {46E35 (26D15 30C99)},
	Mrnumber = {1275460},
	Mrreviewer = {J. Michael Pearson},
	Number = {1},
	Pages = {221--240},
	Title = {Sobolev-{P}oincar\'{e} inequalities for {$p<1$}},
	Url = {https://doi.org/10.1512/iumj.1994.43.43011},
	Volume = {43},
	Year = {1994},
	Bdsk-File-1 = {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}}

@book{Evans1998,
	Author = {Evans, Lawrence C.},
	Date-Added = {2020-03-06 12:41:32 +0100},
	Date-Modified = {2020-03-06 16:11:00 +0100},
	Isbn = {9780821807729,0821807722},
	Publisher = {American Mathematical Society},
	Series = {Graduate Studies in Mathematics, V. 19 GSM/19},
	Title = {Partial Differential Equations},
	Year = {1998},
	Bdsk-File-1 = {YnBsaXN0MDDSAQIDBFxyZWxhdGl2ZVBhdGhZYWxpYXNEYXRhXxAaUmVmZXJlbmNpYXMvRXZhbnMxOTk4LmRqdnVPEQFsAAAAAAFsAAIAAAJIRAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQkQAAf////8ORXZhbnMxOTk4LmRqdnUAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA/////wAAAAAAAAAAAAAAAAABAAMAAAogY3UAAAAAAAAAAAAAAAAAC1JlZmVyZW5jaWFzAAACAEIvOlVzZXJzOmptYXJ0aW5lejpEcm9wYm94OlZlcmJUZVg6VGVzaXM6UmVmZXJlbmNpYXM6RXZhbnMxOTk4LmRqdnUADgAeAA4ARQB2AGEAbgBzADEAOQA5ADgALgBkAGoAdgB1AA8ABgACAEgARAASAEBVc2Vycy9qbWFydGluZXovRHJvcGJveC9WZXJiVGVYL1Rlc2lzL1JlZmVyZW5jaWFzL0V2YW5zMTk5OC5kanZ1ABMAAS8AABUAAgAQ//8AAAAIAA0AGgAkAEEAAAAAAAACAQAAAAAAAAAFAAAAAAAAAAAAAAAAAAABsQ==}}

@article{Kondrachov1938,
	Author = {Vladimir Iosifovich, Kondrachov},
	Date-Added = {2020-03-06 12:30:26 +0100},
	Date-Modified = {2020-03-06 12:36:47 +0100},
	Journal = {Doklady Akad. Nauk SSSR},
	Pages = {235--240},
	Title = {Some estimates for families of functions satisfying integral inequalities},
	Volume = {18},
	Year = {1938}}

@article{Rellich1930,
	Author = {Rellich, Franz},
	Date-Added = {2020-03-06 12:28:25 +0100},
	Date-Modified = {2020-03-06 12:29:48 +0100},
	Journal = {Nachr. Wiss. Gesell. Gottingen, Math.-Phys. Kl.},
	Pages = {30--35},
	Title = {Ein Satz uber mittlere Konvergenz},
	Year = {1930}}

@article{Sobolev1938,
	Author = {Sobolev, Serg\'ei Lv\'ovich},
	Date-Added = {2020-03-06 12:19:48 +0100},
	Date-Modified = {2020-03-06 16:14:05 +0100},
	Fjournal = {{Recueil Math\'ematique. Nouvelle S\'erie}},
	Journal = {{Rec. Math. Moscou, n. Ser.}},
	Language = {Russian},
	Pages = {471--497},
	Publisher = {Moscow Mathematical Society, Moscow},
	Title = {{Sur un th\'eor\`eme d'analyse fonctionnelle.}},
	Volume = {4},
	Year = {1938},
	Zbl = {0022.14803}}

@article{Perron1914,
	Author = {Perron, Oskar},
	Date-Added = {2020-03-06 12:08:13 +0100},
	Date-Modified = {2020-07-11 17:51:39 +0200},
	Journal = {Sitzungsber. Heidelb. Akad. Wiss. Math.-Natur. Kl.},
	Title = {\"Uber den Integralbegriff},
	Volume = {16},
	Year = {1914}}

@article{Kurzweil1957,
	Author = {Kurzweil, Jaroslav},
	Date-Added = {2020-03-06 12:06:41 +0100},
	Date-Modified = {2020-03-06 12:07:43 +0100},
	Journal = {Czechoslovak Math. J.},
	Number = {7},
	Pages = {418--449},
	Title = {Generalized ordinary differential equations and continuous dependence on a parameter},
	Volume = {82},
	Year = {1957}}

@article{Henstock1961,
	Author = {Henstock, Ralph},
	Date-Added = {2020-03-06 12:05:36 +0100},
	Date-Modified = {2020-03-06 12:06:27 +0100},
	Journal = {Proc. London Math. Soc.},
	Number = {3},
	Pages = {402--418},
	Title = {Definitions of {R}iemann type of the variational integrals},
	Volume = {11},
	Year = {1961}}

@book{Gordon1994,
	Author = {Gordon, Russell A.},
	Date-Added = {2020-03-06 12:03:52 +0100},
	Date-Modified = {2020-03-06 12:04:38 +0100},
	Publisher = {American Mathematical Society, Providence, RI},
	Series = {Graduate Studies in Mathematics},
	Title = {The integrals of {L}ebesgue, {D}enjoy, {P}erron, and {H}enstock},
	Volume = {4},
	Year = {1994},
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@article{Denjoy1912,
	Author = {Denjoy, Arnaud},
	Date-Added = {2020-03-06 12:00:18 +0100},
	Date-Modified = {2020-03-06 12:02:46 +0100},
	Journal = {C. R. Acad. Sci.},
	Pages = {859--862},
	Title = {Une extension de l'integrale de M. Lebesgue},
	Volume = {154},
	Year = {1912}}

@book{Bartle2001,
	Author = {Bartle, Robert G.},
	Date-Added = {2020-03-06 11:54:50 +0100},
	Date-Modified = {2020-03-06 11:56:02 +0100},
	Publisher = {American Mathematical Society, Providence, RI},
	Series = {Graduate Studies in Mathematics},
	Title = {A modern theory of integration},
	Volume = {32},
	Year = {2001},
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@article{DeGiorgi1957,
	Author = {De Giorgi, Ennio},
	Date-Added = {2020-03-06 11:49:56 +0100},
	Date-Modified = {2020-03-06 11:50:06 +0100},
	Journal = {Mem. Accad. Sci. Torino. Cl. Sci. Fis. Mat. Nat. (3)},
	Mrclass = {35.00 (49.00)},
	Mrnumber = {0093649},
	Mrreviewer = {C. B. Morrey, Jr.},
	Pages = {25--43},
	Title = {Sulla differenziabilit\`a e l'analiticit\`a delle estremali degli integrali multipli regolari},
	Volume = {3},
	Year = {1957},
	Bdsk-File-1 = {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},
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@article{Nash1958,
	Author = {Nash, John},
	Date-Added = {2020-03-06 11:47:13 +0100},
	Date-Modified = {2020-07-11 17:47:14 +0200},
	Issn = {00029327, 10806377},
	Journal = {Amer. J. Math.},
	Number = {4},
	Pages = {931--954},
	Publisher = {Johns Hopkins University Press},
	Title = {Continuity of Solutions of Parabolic and Elliptic Equations},
	Url = {http://www.jstor.org/stable/2372841},
	Volume = {80},
	Year = {1958},
	Bdsk-File-1 = {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}}

@article{Moser1961,
	Author = {Moser, J\"urgen},
	Date-Added = {2020-03-06 11:45:58 +0100},
	Date-Modified = {2020-07-11 17:46:37 +0200},
	Doi = {10.1002/cpa.3160140329},
	Eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/cpa.3160140329},
	Journal = {Comm. Pure Appl. Math.},
	Number = {3},
	Pages = {577-591},
	Title = {On Harnack's theorem for elliptic differential equations},
	Url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/cpa.3160140329},
	Volume = {14},
	Year = {1961},
	Bdsk-File-1 = {YnBsaXN0MDDSAQIDBFxyZWxhdGl2ZVBhdGhZYWxpYXNEYXRhXxAZUmVmZXJlbmNpYXMvTW9zZXIxOTYxLnBkZk8RAWoAAAAAAWoAAgAAAkhEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABCRAAB/////w1Nb3NlcjE5NjEucGRmAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD/////AAAAAAAAAAAAAAAAAAEAAwAACiBjdQAAAAAAAAAAAAAAAAALUmVmZXJlbmNpYXMAAAIAQS86VXNlcnM6am1hcnRpbmV6OkRyb3Bib3g6VmVyYlRlWDpUZXNpczpSZWZlcmVuY2lhczpNb3NlcjE5NjEucGRmAAAOABwADQBNAG8AcwBlAHIAMQA5ADYAMQAuAHAAZABmAA8ABgACAEgARAASAD9Vc2Vycy9qbWFydGluZXovRHJvcGJveC9WZXJiVGVYL1Rlc2lzL1JlZmVyZW5jaWFzL01vc2VyMTk2MS5wZGYAABMAAS8AABUAAgAQ//8AAAAIAA0AGgAkAEAAAAAAAAACAQAAAAAAAAAFAAAAAAAAAAAAAAAAAAABrg==},
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	Bdsk-Url-1 = {https://doi.org/10.1002/cpa.3160140329}}

@article{Acosta2006,
	Abstract = {If Ω⊂Rn is a bounded domain, the existence of solutions u∈W01,p(Ω) of divu=f for f∈Lp(Ω) with vanishing mean value and 1<p<∞, is a basic result in the analysis of the Stokes equations. It is known that the result holds when Ω is a Lipschitz domain and that it is not valid for domains with external cusps. In this paper we prove that the result holds for John domains. Our proof is constructive: the solution u is given by an explicit integral operator acting on f. To prove that u∈W01,p(Ω) we make use of the Calder{\'o}n--Zygmund singular integral operator theory and the Hardy--Littlewood maximal function. For domains satisfying the separation property introduced in [S. Buckley, P. Koskela, Sobolev--Poincar{\'e} implies John, Math. Res. Lett. 2 (5) (1995) 577--593], and 1<p<n, we also prove a converse result, thus characterizing in this case the domains for which a continuous right inverse of the divergence exists. In particular, our result applies to simply connected planar domains because they satisfy the separation property.},
	Author = {Acosta, Gabriel and Dur\'an, Ricardo G. and Muschietti, Mar\'ia A.},
	Date-Added = {2020-03-06 11:41:14 +0100},
	Date-Modified = {2020-07-11 16:04:02 +0200},
	Doi = {https://doi.org/10.1016/j.aim.2005.09.004},
	Issn = {0001-8708},
	Journal = {Adv. Math.},
	Keywords = {Divergence operator, John domains, Singular integrals},
	Number = {2},
	Pages = {373 - 401},
	Title = {Solutions of the divergence operator on John domains},
	Url = {http://www.sciencedirect.com/science/article/pii/S0001870805002689},
	Volume = {206},
	Year = {2006},
	Bdsk-File-1 = {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},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.aim.2005.09.004}}

@article{Acosta2017,
	Author = {Acosta, Gabriel and Cejas, Eugenia and Dur\'an, Ricardo G.},
	Date-Added = {2020-03-06 11:31:17 +0100},
	Date-Modified = {2020-07-10 13:20:59 +0200},
	Journal = {Ann. Acad. Sci. Fenn. Math.},
	Pages = {211-226},
	Title = {Improved Poincar\'e inequalities and solutions of the divergence in weighted norms},
	Volume = {42},
	Year = {2017},
	Bdsk-File-1 = {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}}

@article{Chua1993,
	Abstract = {By similar methods of Iwaniec and Nolder (Hardy-Littlewood inequality for quasiregular mappings in certain domains in Rn, Ann. Acad. Sci. Fenn. Ser. A I Math. 10 (1985)), we obtain weighted Sobolev inequalities on domains satisfying the Boman chain condition.},
	Author = {Chua, Seng-Kee},
	Date-Added = {2020-03-06 11:26:39 +0100},
	Date-Modified = {2020-03-06 11:26:39 +0100},
	Issn = {00029939, 10886826},
	Journal = {Proc. Amer. Math. Soc.},
	Number = {2},
	Pages = {449--457},
	Publisher = {American Mathematical Society},
	Title = {Weighted Sobolev Inequalities on Domains Satisfying the Chain Condition},
	Url = {http://www.jstor.org/stable/2159182},
	Volume = {117},
	Year = {1993},
	Bdsk-File-1 = {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}}

@article{Drelichman2008,
	Author = {Drelichman, Irene and Dur\'an, Ricardo G.},
	Date-Added = {2020-03-06 11:25:22 +0100},
	Date-Modified = {2020-07-10 13:20:54 +0200},
	Journal = {J. Math. Anal. Appl.},
	Pages = {286-293},
	Title = {Improved Poincar\'e inequality with weights},
	Volume = {347},
	Year = {2008},
	Bdsk-File-1 = {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}}

@article{Hurri-Syrjaenen2019,
	Author = {Hurri-Syrj\"anen, Ritva and L\'opez Garc\'ia, Fernando},
	Date-Added = {2020-03-06 11:22:57 +0100},
	Date-Modified = {2020-04-01 17:27:39 +0200},
	Journal = {Colloq. Math.},
	Month = {12},
	Number = {2},
	Pages = {213--230},
	Title = {On the weighted fractional Poincar\'e-type inequalities},
	Volume = {157},
	Year = {2019},
	Bdsk-File-1 = {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}}

@article{Hurri-Syrjaenen2013,
	Author = {Hurri-Syrj\"anen, Ritva and V\"ah\"akangas, Antti},
	Booktitle = {J. Anal. Math.},
	Date-Added = {2020-03-06 11:21:51 +0100},
	Date-Modified = {2020-03-06 11:21:51 +0100},
	Journal = {J. Anal. Math.},
	Pages = {85--104},
	Title = {On fractional Poincar\'e inequalities},
	Volume = {120},
	Year = {2013},
	Bdsk-File-1 = {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}}

@article{Hurri-Syrjaenen1994,
	Abstract = {We show that a large class of domains D in Rn including John domains satisfies the improved Poincar{\'e} inequality |u(x) - uD|Lq(D) ? c| ? u(x)d(x, ? D)? |Lp(D) where $p \leq q \leq \frac{np}{n - p(1 - \delta)}, p(1 - \delta) < n, \delta \in \lbrack 0, 1 \rbrack, c = c(p, q, \delta, D) < \infty$, and u is in an appropriate Sobolev class.},
	Author = {Hurri-Syrj\"anen, Ritva},
	Date-Added = {2020-03-06 11:20:00 +0100},
	Date-Modified = {2020-03-06 11:20:00 +0100},
	Issn = {00029939, 10886826},
	Journal = {Proc. Amer. Math. Soc.},
	Number = {1},
	Pages = {213--222},
	Publisher = {American Mathematical Society},
	Title = {An Improved Poincar{\'e} Inequality},
	Url = {http://www.jstor.org/stable/2160188},
	Volume = {120},
	Year = {1994},
	Bdsk-File-1 = {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}}

@article{Hurri1990,
	Author = {Hurri, Ritva},
	Date-Added = {2020-03-06 11:19:02 +0100},
	Date-Modified = {2020-03-06 11:19:02 +0100},
	Doi = {10.7146/math.scand.a-12325},
	Journal = {Math. Scand.},
	Month = {Jun.},
	Pages = {145-160},
	Title = {The weighted Poincar\'e inequalities.},
	Url = {https://www.mscand.dk/article/view/12325},
	Volume = {67},
	Year = {1990},
	Bdsk-File-1 = {YnBsaXN0MDDSAQIDBFxyZWxhdGl2ZVBhdGhZYWxpYXNEYXRhXxAZUmVmZXJlbmNpYXMvSHVycmkxOTkwLnBkZk8RAWoAAAAAAWoAAgAAAkhEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABCRAAB/////w1IdXJyaTE5OTAucGRmAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD/////AAAAAAAAAAAAAAAAAAEAAwAACiBjdQAAAAAAAAAAAAAAAAALUmVmZXJlbmNpYXMAAAIAQS86VXNlcnM6am1hcnRpbmV6OkRyb3Bib3g6VmVyYlRlWDpUZXNpczpSZWZlcmVuY2lhczpIdXJyaTE5OTAucGRmAAAOABwADQBIAHUAcgByAGkAMQA5ADkAMAAuAHAAZABmAA8ABgACAEgARAASAD9Vc2Vycy9qbWFydGluZXovRHJvcGJveC9WZXJiVGVYL1Rlc2lzL1JlZmVyZW5jaWFzL0h1cnJpMTk5MC5wZGYAABMAAS8AABUAAgAQ//8AAAAIAA0AGgAkAEAAAAAAAAACAQAAAAAAAAAFAAAAAAAAAAAAAAAAAAABrg==},
	Bdsk-Url-1 = {https://doi.org/10.7146/math.scand.a-12325}}

@book{Heinonen2001,
	Author = {Heinonen, Juha},
	Date-Added = {2020-03-06 11:07:24 +0100},
	Date-Modified = {2020-03-06 11:14:00 +0100},
	Publisher = {Springer-Verlag New York},
	Series = {Universitext},
	Title = {Lectures on Analysis on Metric Spaces},
	Year = {2001},
	Bdsk-File-1 = {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}}

@article{Hajlasz1995,
	Author = {Haj\l{}asz, Piotr and Koskela, Pekka},
	Date-Added = {2020-03-06 11:00:49 +0100},
	Date-Modified = {2020-07-11 17:23:26 +0200},
	Journal = {C. R. Acad. Sci. Paris S{\'e}r. I Math.},
	Month = {01},
	Title = {Sobolev meets Poincar\'e},
	Volume = {320},
	Year = {1995},
	Bdsk-File-1 = {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},
	Bdsk-File-2 = {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}}

@book{Heinonen2015,
	Author = {Heinonen, Juha and Koskela, Pekka and Shanmugalingam, Nageswari and Tyson, Jeremy T.},
	Date-Added = {2020-03-06 10:57:13 +0100},
	Date-Modified = {2020-03-06 10:57:13 +0100},
	Publisher = {Cambridge: Cambridge University Press},
	Series = {New Mathematical Monographs},
	Title = {Sobolev spaces on metric measure spaces: An approach based on upper gradients},
	Year = {2015},
	Bdsk-File-1 = {YnBsaXN0MDDSAQIDBFxyZWxhdGl2ZVBhdGhZYWxpYXNEYXRhXxAcUmVmZXJlbmNpYXMvSGVpbm9uZW4yMDE1LnBkZk8RAXQAAAAAAXQAAgAAAkhEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABCRAAB/////xBIZWlub25lbjIwMTUucGRmAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD/////AAAAAAAAAAAAAAAAAAEAAwAACiBjdQAAAAAAAAAAAAAAAAALUmVmZXJlbmNpYXMAAAIARC86VXNlcnM6am1hcnRpbmV6OkRyb3Bib3g6VmVyYlRlWDpUZXNpczpSZWZlcmVuY2lhczpIZWlub25lbjIwMTUucGRmAA4AIgAQAEgAZQBpAG4AbwBuAGUAbgAyADAAMQA1AC4AcABkAGYADwAGAAIASABEABIAQlVzZXJzL2ptYXJ0aW5lei9Ecm9wYm94L1ZlcmJUZVgvVGVzaXMvUmVmZXJlbmNpYXMvSGVpbm9uZW4yMDE1LnBkZgATAAEvAAAVAAIAEP//AAAACAANABoAJABDAAAAAAAAAgEAAAAAAAAABQAAAAAAAAAAAAAAAAAAAbs=}}

@article{Hajlasz2001,
	Author = {Haj\l{}asz, Piotr},
	Date-Added = {2020-03-06 10:47:57 +0100},
	Date-Modified = {2020-03-06 11:13:52 +0100},
	Journal = {Report. Univ. Jyv\"askyl\"a},
	Pages = {109--126},
	Title = {Sobolev Inequalities, Truncation Method, and John Domains},
	Volume = {83},
	Year = {2001},
	Bdsk-File-1 = {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}}

@book{Hajlasz2000,
	Author = {Haj\l{}asz, Piotr and Koskela, Pekka},
	Date-Added = {2020-03-06 10:39:42 +0100},
	Date-Modified = {2020-03-06 11:13:38 +0100},
	Publisher = {Amer Mathematical Society},
	Series = {Memoirs AMS 688},
	Title = {Sobolev Met Poincar\'e},
	Year = {2000},
	Bdsk-File-1 = {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}}

@article{Cruz-Uribe2007,
	Author = {Cruz-Uribe, David and Fiorenza, A.},
	Doi = {10.1007/s10587-007-0051-y},
	Journal = {Czechoslovak Mathematical Journal},
	Month = {03},
	Pages = {153-160},
	Title = {Weighted endpoint estimates for commutators of fractional integrals},
	Volume = {57},
	Year = {2007},
	Bdsk-Url-1 = {https://doi.org/10.1007/s10587-007-0051-y}}

@phdthesis{TesisEugenia,
	Author = {Cejas, Eugenia},
	School = {Universidad Nacional de La Plata},
	Title = {Aplicaciones de las desigualdades con pesos a ecuaciones diferenciales},
	Year = {2016}}

@article{Canto2020,
	Author = {Canto, Javier and P\'erez, Carlos and Rela, Ezequiel},
	Month = {07},
	Title = {Minimal conditions for BMO},
	Year = {2020}}

@article{Bourgain2002,
	Author = {Bourgain, Jean and Br\'ezis, Ha\"im and Mironescu, Petru},
	Journal = {J. Anal. Math.},
	Number = {87},
	Pages = {77--101},
	Title = {Limiting embedding theorems for $W^{s,p}$ when $s \uparrow 1$ and applications.},
	Year = {2002}}

@incollection{Bourgain2001,
	Author = {Bourgain, Jean and Br\'ezis, Ha\"im and Mironescu, Petru},
	Booktitle = {Optimal control and partial differential equations},
	Pages = {439--455},
	Publisher = {IOS, Amsterdam},
	Title = {Another look at {S}obolev spaces},
	Year = {2001}}

@article{Mazya2002,
	Author = {Maz$'$ya, V. and Shaposhnikova, T.},
	Issn = {0022-1236},
	Journal = {J. Funct. Anal.},
	Number = {2},
	Pages = {230--238},
	Title = {On the {B}ourgain, {B}rezis, and {M}ironescu theorem concerning limiting embeddings of fractional {S}obolev spaces},
	Volume = {195},
	Year = {2002}}

@article{Mazya2003,
	Author = {Maz$'$ya, V. and Shaposhnikova, T.},
	Issn = {0022-1236},
	Journal = {J. Funct. Anal.},
	Number = {1},
	Pages = {298--300},
	Title = {Erratum to: ``{O}n the {B}ourgain, {B}rezis and {M}ironescu theorem concerning limiting embeddings of fractional {S}obolev spaces'' [{J}. {F}unct. {A}nal. {\bf 195} (2002), no. 2, 230--238; {MR}1940355 (2003j:46051)]},
	Volume = {201},
	Year = {2003}}

@article{Fabes1982-2,
	Author = {Fabes, Eugene B.},
	Journal = {Rendiconti del Seminario Matematico e Fisico di Milano},
	Pages = {11--21},
	Title = {Properties of nonnegative solutions of degenerate elliptic equations},
	Volume = {52},
	Year = {1982}}

@article{Lerner2013-2,
	Author = {Lerner, Andrei K},
	Journal = {Journal d'Analyse Math{\'e}matique},
	Number = {1},
	Pages = {141--161},
	Publisher = {Springer},
	Title = {On an estimate of Calder{\'o}n-Zygmund operators by dyadic positive operators},
	Volume = {121},
	Year = {2013}}

@book{Stredulinsky1984,
	Author = {Stredulinsky, Edward W},
	Publisher = {Springer},
	Title = {Weighted inequalities and degenerate elliptic partial differential equations},
	Volume = {1074},
	Year = {2006}}

@article{Perez2003,
	Abstract = {We derive weighted norm estimates which relate integral operators of potential type (fractional integrals) to corresponding maximal operators (fractional maximal operators). We also derive norm estimates for the maximal operators. The conditions that we impose on the weights involve A∞ conditions of ``content type'' which are weaker than the usual A∞ condition. The analysis is carried out in the context of spaces of homogeneous type.},
	Author = {P\'erez, Carlos and Wheeden, Richard L.},
	Issn = {1572-929X},
	Journal = {Potential Analysis},
	Number = {1},
	Pages = {1--33},
	Refid = {Perez2003},
	Title = {Potential Operators, Maximal Functions, and Generalizations of $A_\infty$},
	Url = {https://doi.org/10.1023/A:1022449810008},
	Volume = {19},
	Year = {2003},
	Bdsk-Url-1 = {https://doi.org/10.1023/A:1022449810008}}

@book{Bjorn2011,
	Author = {Bj{\"o}rn, Anders and Bj{\"o}rn, Jana},
	Isbn = {9783037190999},
	Lccn = {2012359355},
	Publisher = {European Mathematical Society},
	Series = {EMS tracts in mathematics},
	Title = {Nonlinear Potential Theory on Metric Spaces},
	Url = {https://books.google.es/books?id=UgDY3FYw9l8C},
	Year = {2011},
	Bdsk-Url-1 = {https://books.google.es/books?id=UgDY3FYw9l8C}}

@article{Perez2001,
	Abstract = {We derive weighted norm estimates for integral operators of potential type and for their related maximal operators. These operators are generalizations of the classical fractional integrals and fractional maximal functions. The norm estimates are derived in the context of a space of homogeneous type. The conditions required of the weight functions involve generalizations of the Fefferman--Phong ``r-bump'' condition. The results improve some earlier ones of the same kind, and they also extend to homogeneous spaces some estimates that were previously known to hold only in the classical Euclidean setting.},
	Author = {P\'erez, Carlos and Wheeden, Richard L.},
	Doi = {https://doi.org/10.1006/jfan.2000.3711},
	Issn = {0022-1236},
	Journal = {Journal of Functional Analysis},
	Number = {1},
	Pages = {146 - 188},
	Title = {Uncertainty Principle Estimates for Vector Fields},
	Url = {http://www.sciencedirect.com/science/article/pii/S002212360093711X},
	Volume = {181},
	Year = {2001},
	Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/S002212360093711X},
	Bdsk-Url-2 = {https://doi.org/10.1006/jfan.2000.3711}}

@article{Neugebauer1983,
	Abstract = {Necessary and sufficient conditions are given for inserting a single weight $w \in A_p$ between $u$ and $v$, i.e., $c_1u \leqslant w \leqslant c_2v$.},
	Author = {C. J. Neugebauer},
	Issn = {00029939, 10886826},
	Journal = {Proceedings of the American Mathematical Society},
	Number = {4},
	Pages = {644--648},
	Publisher = {American Mathematical Society},
	Title = {Inserting $A_p$-Weights},
	Url = {http://www.jstor.org/stable/2043351},
	Volume = {87},
	Year = {1983},
	Bdsk-Url-1 = {http://www.jstor.org/stable/2043351}}

@article{Hernandez1989,
	Author = {Hern\'andez, Eugenio},
	Journal = {Studia Mathematica},
	Keywords = {Hardy's operator; Hardy-Littlewood maximal function; factorization theorems; sublinear operators; P. Jones factorization theorem for weights; Extrapolation theorems},
	Language = {eng},
	Number = {2},
	Pages = {179-193},
	Title = {Factorization and extrapolation of pairs of weights},
	Url = {http://eudml.org/doc/218960},
	Volume = {95},
	Year = {1989},
	Bdsk-Url-1 = {http://eudml.org/doc/218960}}

@conference{Perez2013,
	Address = {Matfyzpress, Praga},
	Author = {P\'erez, Carlos},
	Editor = {Lukes, Jaros\-lav and Pick, Lubos},
	Month = {06},
	Organization = {Spring School on Analysis Paseky},
	Title = {Singular Integrals and weights: a modern introduction},
	Volume = {Function Spaces and Inequalities, Lecture Notes Paseky nad Jizerou},
	Year = {2013}}

@article{M,
	Author = {Maz'ya, Vladimir}}

@article{Chanillo1982,
	Author = {Chanillo, Sagun},
	Issn = {00222518, 19435258},
	Journal = {Indiana University Mathematics Journal},
	Number = {1},
	Pages = {7--16},
	Publisher = {Indiana University Mathematics Department},
	Title = {A Note on Commutators},
	Url = {http://www.jstor.org/stable/24893059},
	Volume = {31},
	Year = {1982},
	Bdsk-Url-1 = {http://www.jstor.org/stable/24893059}}

@article{Recchi2013,
	Author = {Recchi, Jorgelina},
	Doi = {https://doi.org/10.1016/j.jmaa.2013.02.018},
	Issn = {0022-247X},
	Journal = {Journal of Mathematical Analysis and Applications},
	Keywords = {Maximal operators, Fractional integrals, Singular integrals, Weight norm inequalities, Sharp bounds},
	Number = {1},
	Pages = {283 - 296},
	Title = {Mixed $A_1-A_\infty$ bounds for fractional integrals},
	Url = {http://www.sciencedirect.com/science/article/pii/S0022247X13001212},
	Volume = {403},
	Year = {2013},
	Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/S0022247X13001212},
	Bdsk-Url-2 = {https://doi.org/10.1016/j.jmaa.2013.02.018}}

@article{Chanillo1992,
	Author = {Chanillo, Sagun and Wheeden, Richard L.},
	Doi = {10.1512/iumj.1992.41.41033},
	Journal = {Indiana University Mathematics Journal},
	Month = {09},
	Title = {Poincar\'e inequalities for a class of non-$A_p$ weights},
	Volume = {41},
	Year = {1992},
	Bdsk-Url-1 = {https://doi.org/10.1512/iumj.1992.41.41033}}

@article{Hurri-Syrjaenen2020,
	Author = {Hurri-Syrj\"anen, Ritva and Mart\'inez-Perales, Javier C. and P\'erez, Carlos and V\"ah\"akangas, Antti},
	Journal = {Ongoing work},
	Title = {On local fractional Poincar\'e inequalities with weights}}

@conference{Long1991,
	Author = {Long, Ruilin and Fusheng, Nie},
	Booktitle = {Harmonic Analysis},
	Publisher = {Springer, Berlin, Heidelberg},
	Series = {Lecture Notes in Mathematics},
	Title = {Weighted Sobolev Inequality and Eigenvalue estimates of Schr\"odinger Operators},
	Volume = {1494},
	Year = {1991}}

@article{Dafni2017,
	Author = {Dafni, Galia and Hyt\"onen, Tuomas and Korte, Riikka and Yue, Hong},
	Doi = {10.1016/j.jfa.2018.05.007},
	Journal = {Journal of Functional Analysis},
	Month = {04},
	Title = {The space $JN_p$: nontriviality and duality},
	Volume = {275},
	Year = {2017},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.jfa.2018.05.007}}

@article{Martinez2020-2,
	Archiveprefix = {arXiv},
	Author = {Javier C. Mart\'inez-Perales and Ezequiel Rela and Israel P. Rivera-R\'ios},
	Eprint = {2010.01221},
	Primaryclass = {math.CA},
	Title = {Quantitative John-Nirenberg inequalities at different scales},
	Year = {2020}}