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Boundedness for a Class of Singular Integral Operators on Both Classical and Product Hardy Spaces

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  • Chaoqiang Tan

Abstract

We found that the classical Calderón-Zygmund singular integral operators are bounded on both the classical Hardy spaces and the product Hardy spaces. The purpose of this paper is to extend this result to a more general class. More precisely, we introduce a class of singular integral operators including the classical Calderón-Zygmund singular integral operators and show that they are bounded on both the classical Hardy spaces and the product Hardy spaces.

Suggested Citation

  • Chaoqiang Tan, 2014. "Boundedness for a Class of Singular Integral Operators on Both Classical and Product Hardy Spaces," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, February.
  • Handle: RePEc:hin:jnlaaa:987214
    DOI: 10.1155/2014/987214
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