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A new approach to norm inequalities on weighted and variable Hardy spaces

Autor: David Cruz-Uribe, Kabe Moen, Hanh Van Nguyen

Publikováno v: Annales Academiae Scientiarum Fennicae Mathematica. 45:175-198

We give new proofs of Hardy space estimates for fractional and singular integral operators on weighted and variable exponent Hardy spaces. Our proofs consist of several interlocking ideas: finite atomic decompositions in terms of $L^\infty$ atoms, ve

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a64ed1342b077ccef0af75791ca75d7d
https://doi.org/10.5186/aasfm.2020.4526

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Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach

Autor: Kabe Moen, Eric Stachura, José María Martell, Rodolfo H. Torres, Árpád Bényi

Publikováno v: Digital.CSIC. Repositorio Institucional del CSIC
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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 i

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::927161e314679bf98e3cc2558296dd8a
https://doi.org/10.1007/s00208-019-01870-z

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Matrix weighted Poincare inequalities and applications to degenerate elliptic systems

Autor: Kabe Moen, Joshua Isralowitz

Publikováno v: Indiana University Mathematics Journal. 68:1327-1377

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ca2aafb45ce0c512b849466602f22f61
https://doi.org/10.1512/iumj.2019.68.7686

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Logarithmic bump conditions for Calderón-Zygmund operators on spaces of homogeneous type

Autor: Kabe Moen, Theresa C. Anderson, David Cruz-Uribe

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
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Publicacions Matemàtiques; Vol. 59, Núm. 1 (2015); p. 17-43
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Publ. Mat. 59, no. 1 (2015), 17-43

The first author is supported by an NSF graduate fellowship. The second author is supported by the Stewart-Dorwart faculty development fund at Trinity College and by grant MTM2009-08934 from the Spanish Ministry of Science and Innovation. The third a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::39c389871e310a20d8a6186e0a7bee2b
http://hdl.handle.net/2072/404553

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On the harmonic and geometric maximal operators

Autor: Linden Anne Duffee, Kabe Moen

Publikováno v: Mathematical Inequalities & Applications. :265-286

We examine the harmonic and geometric maximal operators defined for a general basis of open sets in $\R^n$. We prove two weight norm inequalities for the harmonic maximal operator assuming testing conditions over characteristic functions of unions of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c1f1655d1e5923a25799461fed0a5e82
https://doi.org/10.7153/mia-2018-21-20

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Extrapolation in the scale of generalized reverse Hölder weights

Autor: Kabe Moen, Theresa C. Anderson, David Cruz-Uribe

Publikováno v: Revista Matemática Complutense. 31:263-286

We develop a theory of extrapolation for weights that satisfy a generalized reverse Holder inequality in the scale of Orlicz spaces. This extends previous results by Auscher and Martell (Adv Math 212(1):225–276, 2007) on limited range extrapolation

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::69c44308e9a13d83ab458d4551f40cb3
https://doi.org/10.1007/s13163-017-0253-2

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Muckenhoupt–Wheeden conjectures for sparse operators

Autor: Cong Hoang, Kabe Moen

Publikováno v: Archiv der Mathematik. 109:49-58

We provide an explicit example of a pair of weights and a dyadic sparse operator for which the Hardy–Littlewood maximal function is bounded from $L^p(v)$ to $L^p(u)$ and from $L^{p'}(u^{1-p'})$ to $L^{p'}(v^{1-p'})$ while the sparse operato

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::15d7b82d7f3e3126e8d989518455372f
https://doi.org/10.1007/s00013-017-1046-z

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Weak endpoint bounds for matrix weights

Autor: Israel P. Rivera-Ríos, Joshua Isralowitz, Kabe Moen, David Cruz-Uribe, Sandra Pott

We prove quantitative, matrix weighted, endpoint estimates for the matrix weighted Hardy-Littlewood maximal operator, Calderon-Zygmund operators, and commutators of CZOs with scalar BMO functions, when the matrix weight is in the class A1 introduced

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1731f1004d9ee6d7ea7e0d70213930c4
http://arxiv.org/abs/1905.06436

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