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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

Received: 3 August 2008

Accepted: 20 October 2008

Published: 29 October 2008


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


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

Publisher note

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Authors’ Affiliations

Department of Mathematics, Faculty of Science, Ningbo University, Ningbo, China
Department of Mathematics, Faculty of Science, Zhejiang University, Hangzhou, China


© 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.