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CBMO estimates for multilinear Hardy operators

Acta Mathematica Sinica, English Series volume 26, pages 1245–1254 (2010)Cite this article

Abstract

The purpose of this paper is to study the multilinear Hardy operators in higher dimensional cases and establish the CBMO estimates for multilinear Hardy operators on some function spaces, such as the Lebesgue spaces, the Herz spaces and the Morrey-Herz spaces.

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Authors and Affiliations

  1. School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, P. R. China

    Shan Zhen Lu & Fa You Zhao

Authors
  1. Shan Zhen Lu
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  2. Fa You Zhao
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Corresponding author

Correspondence to Shan Zhen Lu.

Additional information

Supported by National Natural Science Foundation of China (Grant No. 10871024)

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Lu, S.Z., Zhao, F.Y. CBMO estimates for multilinear Hardy operators. Acta. Math. Sin.-English Ser. 26, 1245–1254 (2010). https://doi.org/10.1007/s10114-010-8603-8

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  • DOI: https://doi.org/10.1007/s10114-010-8603-8

Keywords

  • multilinear
  • Hardy operator
  • central BMO space
  • Herz space
  • Morrey-Herz space

MR(2000) Subject Classification

  • 42B20
  • 42B35