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Weighted estimates for commutators on nonhomogeneous spaces

Journal of Inequalities and Applications20062006:89396

https://doi.org/10.1155/JIA/2006/89396

©  W. Chen and B. Zhao. 2006

Received: 14 November 2005

Accepted: 11 March 2006

Published: 5 July 2006

Abstract

Let be a Borel measure on which may be nondoubling. The only condition that must satisfy is for any cube with sides parallel to the coordinate axes and for some fixed with . This paper is to establish the weighted norm inequality for commutators of Calderón-Zygmund operators with functions by an estimate for a variant of the sharp maximal function in the context of the nonhomogeneous spaces.

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Authors’ Affiliations

(1)
Institute of Applied Physics and Computational Mathematics
(2)
Beijing October First School

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Copyright

© W. Chen and B. Zhao. 2006

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.