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Continuity of Higher Order Commutators on Certain Hardy Spaces

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Abstract

In this paper, the autors study the continuity properties of higher order commutators generated by the homogeneous fractional integral and BMO functions on certain Hardy spaces, weak Hardy spaces and Herz-type Hardy spaces.

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Authors and Affiliations

  1. Department of Mathematics, Beijing Normal University, Beijing, 100875, P.R. China

    Yong Ding & Shan Zhen Lu

  2. Department of Mathematics, Zhejiang University (at Xixi Campus), Hangzhou, 310028, P.R. China

    Pu Zhang

Authors
  1. Yong Ding
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  2. Shan Zhen Lu
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  3. Pu Zhang
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Corresponding author

Correspondence to Yong Ding.

Additional information

The research is supported by NSF of China (Grant: 19971010), DPFIHE of China (Grant: 98002703) and National 973 Project of China.

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Ding, Y., Lu, S.Z. & Zhang, P. Continuity of Higher Order Commutators on Certain Hardy Spaces. Acta Math Sinica 18, 391–404 (2002). https://doi.org/10.1007/s101140200160

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  • DOI: https://doi.org/10.1007/s101140200160

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