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Main Author:	Mair, Adam
Format:	Preprint
Published:	2024
Subjects:	Classical Analysis and ODEs 42B20, 42B25
Online Access:	https://arxiv.org/abs/2410.09966
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author	Mair, Adam
author_facet	Mair, Adam
contents	In this paper we prove a characterization of the $L^p$-to-$L^q$ boundedness of commutators to the Cauchy transform. Our work presents both new results and new proofs for established results. In particular, we show that the Campanato space characterizes boundedness of commutators for a certain range of $p$ and $q$.
format	Preprint
id	arxiv_https___arxiv_org_abs_2410_09966
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	$L^p$-to-$L^q$ boundedness for commutators of the Cauchy transform Mair, Adam Classical Analysis and ODEs 42B20, 42B25 In this paper we prove a characterization of the $L^p$-to-$L^q$ boundedness of commutators to the Cauchy transform. Our work presents both new results and new proofs for established results. In particular, we show that the Campanato space characterizes boundedness of commutators for a certain range of $p$ and $q$.
title	$L^p$-to-$L^q$ boundedness for commutators of the Cauchy transform
topic	Classical Analysis and ODEs 42B20, 42B25
url	https://arxiv.org/abs/2410.09966

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