The boundedness of multilinear Calderón-Zygmund operators on weighted and variable Hardy spaces
Cruz-Uribe, David (University of Alabama. Department of Mathematics)
OFS
Moen, Kabe (University of Alabama. Department of Mathematics)
Van Nguyen, Hanh (University of Alabama. Department of Mathematics)

Date:	2019
Abstract:	We establish the boundedness of the multilinear Calderon{Zygmund operators from a product of weighted Hardy spaces into a weighted Hardy or Lebesgue space. Our results generalize to the weighted setting results obtained by Grafakos and Kalton [18] and recent work by the third author, Grafakos, Nakamura, and Sawano [20]. As part of our proof we provide a finite atomic decomposition theorem for weighted Hardy spaces, which is interesting in its own right. As a consequence of our weighted results, we prove the corresponding estimates on variable Hardy spaces. Our main tool is a multilinear extrapolation theorem that generalizes a result of the first author and Naibo [10].
Note:	The first author is supported by NSF Grant DMS-1362425 and research funds from the Dean of the College of Arts & Sciences, the University of Alabama. The second author is supported by the Simons Foundation.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Muckenhoupt weights ; Weighted hardy spaces ; Variable hardy spaces ; Multilinear calderón-zygmund operators ; Singular integrals
Published in:	Publicacions matemàtiques, Vol. 63 Núm. 2 (2019) , p. 679-713 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/358954
DOI: 10.5565/PUBLMAT6321908

35 p, 488.5 KB

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