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The Cauchy Integral Operator on the Predual of a Morrey Space

Journal of Inequalities and Applications volume 2010, Article number: 729824 (2010) Cite this article

Abstract

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."

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang University, Hangzhou, 310027, China

    Jianmiao Ruan & Jiecheng Chen

  2. Department of Mathematics, Zhejiang Education Institute, Hangzhou, 310012, China

    Jianmiao Ruan

Authors
  1. Jianmiao Ruan
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  2. Jiecheng Chen
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Correspondence to Jianmiao Ruan.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Ruan, J., Chen, J. The Cauchy Integral Operator on the Predual of a Morrey Space. J Inequal Appl 2010, 729824 (2010). https://doi.org/10.1155/2010/729824

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  • DOI: https://doi.org/10.1155/2010/729824

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