Title:
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The boundedness of multilinear Calderón-Zygmund operators on weighted and variable Hardy spaces
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Author:
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Cruz-Uribe, David; OFS; Moen, Kabe; Van Nguyen, Hanh
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Abstract:
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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. |
Abstract:
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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]. |
Subject(s):
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-Muckenhoupt weights -Weighted hardy spaces -Variable hardy spaces -Multilinear calderón-zygmund operators -Singular integrals |
Rights:
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open access
Tots els drets reservats.
https://rightsstatements.org/vocab/InC/1.0/ |
Document type:
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Article |
Published by:
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Share:
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Uri:
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https://ddd.uab.cat/record/206884
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