Open Access

Boundedness on Hardy-Sobolev Spaces for Hypersingular Marcinkiewicz Integrals with Variable Kernels

Journal of Inequalities and Applications20082008:835938

https://doi.org/10.1155/2008/835938

Received: 3 August 2008

Accepted: 20 October 2008

Published: 29 October 2008

Abstract

The existence and boundedness on Sobolev spaces and Hardy-Sobolev spaces for the hypersingular Marcinkiewicz integrals with variable kernels are derived.

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Authors’ Affiliations

(1)
Department of Mathematics, Faculty of Science, Ningbo University
(2)
Department of Mathematics, Faculty of Science, Zhejiang University

Copyright

© Xiangxing Tao et al. 2008

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.