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Boundedness of Hausdorff operators on some product Hardy type spaces

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Abstract

We study Hausdorff operators on the product Besov space B 0,11 (ℝn × ℝm) and on the local product Hardy space h 1(ℝn × ℝm). We establish some boundedness criteria for Hausdorff operators on these function spaces.

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, China

    Jie-cheng Chen

  2. Department of Mathematics, University of Wisconsin-Milwaukee, Milwaukee, WI, 53201, USA

    Da-shan Fan

  3. School of Science, Hangzhou Dianzi University, Hangzhou, 310018, China

    Chun-jie Zhang

Authors
  1. Jie-cheng Chen
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  2. Da-shan Fan
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  3. Chun-jie Zhang
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Corresponding author

Correspondence to Chun-jie Zhang.

Additional information

Supported by the National Natural Science Foundation of China (10931001, 10871173 and 11026104).

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Chen, Jc., Fan, Ds. & Zhang, Cj. Boundedness of Hausdorff operators on some product Hardy type spaces. Appl. Math. J. Chin. Univ. 27, 114–126 (2012). https://doi.org/10.1007/s11766-012-2922-8

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  • DOI: https://doi.org/10.1007/s11766-012-2922-8

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