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Weighted estimates for commutators on nonhomogeneous spaces

Journal of Inequalities and Applications volume 2006, Article number: 89396 (2006) Cite this article

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 and Affiliations

  1. Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing, 100088, China

    Wengu Chen

  2. Beijing October First School, Beijing, 100039, China

    Bing Zhao

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  1. Wengu Chen
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  2. Bing Zhao
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Correspondence to Wengu Chen.

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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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Chen, W., Zhao, B. Weighted estimates for commutators on nonhomogeneous spaces. J Inequal Appl 2006, 89396 (2006). https://doi.org/10.1155/JIA/2006/89396

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

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