L2 boundedness of the Cauchy transform implies L2 boundedness of all Carlderón-Zygmund operators associated to odd kernels
Tolsa Domènech, Xavier (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2004
Abstract:	Let µ be a Radon measure on C without atoms. In this paper we prove that if the Cauchy transform is bounded in L2 (µ), then all 1-dimensional Calder'on-Zygmund operators associated to odd and sufficiently smooth kernels are also bounded in L2 (µ).
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Cauchy transform ; Calderón-Zygmund operators ; L2 estimates ; Corona decomposition ; Non doubling measures
Published in:	Publicacions matemàtiques, V. 48 N. 2 (2004) , p. 445-479, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/38106
DOI: 10.5565/PUBLMAT_48204_09

36 p, 271.2 KB

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