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Open Access

The Cauchy Integral Operator on the Predual of a Morrey Space

Journal of Inequalities and Applications20102010:729824

Received: 15 November 2009

Accepted: 5 March 2010

Published: 14 March 2010


We show that the Cauchy integral operator is bounded from (the predual of a Morrey space) to (the local version of ). To prove our theorem we will introduce generalized atoms and consider a variant of "Tb theorem."


Integral OperatorFull ArticleMorrey SpacePublisher NoteCauchy Integral

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Authors’ Affiliations

Department of Mathematics, Zhejiang University, Hangzhou, China
Department of Mathematics, Zhejiang Education Institute, Hangzhou, China


© J. Ruan and J. Chen. 2010

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.