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

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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Correspondence to Songyan Zhang.

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Tao, X., Yu, X. & Zhang, S. Boundedness on Hardy-Sobolev Spaces for Hypersingular Marcinkiewicz Integrals with Variable Kernels. J Inequal Appl 2008, 835938 (2008). https://doi.org/10.1155/2008/835938

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Keywords

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