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  • Research Article
  • 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:

Abstract

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

Keywords

  • Sobolev Space
  • Full Article
  • Publisher Note
  • Variable Kernel
  • Marcinkiewicz Integral

Publisher note

To access the full article, please see PDF.

Authors’ Affiliations

(1)
Department of Mathematics, Faculty of Science, Ningbo University, Ningbo, Zhejiang Province, 315211, China
(2)
Department of Mathematics, Faculty of Science, Zhejiang University, Hangzhou, Zhejiang Province, 315211, China

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.

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