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The fractional Hausdorff operators on the Hardy spaces H p(ℝn)

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In this paper, we study the high-dimensional fractional Hausdorff operators and establish their boundedness on the real Hardy spaces H p(ℝn) for 0 < p < 1.

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Authors and Affiliations

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

    J. Chen

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

    D. Fan

  3. Department of Mathematical Science, Gateway Technical College, 53403, Racine, WI, USA

    X. Lin

  4. Department of Mathematics, Zhejiang International Studies University, 310012, Hangzhou, China

    J. Ruan

Authors
  1. J. Chen
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  2. D. Fan
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  3. X. Lin
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  4. J. Ruan
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Corresponding author

Correspondence to J. Ruan.

Additional information

This research was supported by the National Natural Science Foundation of China (11271330, 11201103 and 11471288) and the Zhejiang Provincial Natural Science Foundation of China (LY16A010013).

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Chen, J., Fan, D., Lin, X. et al. The fractional Hausdorff operators on the Hardy spaces H p(ℝn). Anal Math 42, 1–17 (2016). https://doi.org/10.1007/s10476-016-0101-5

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  • DOI: https://doi.org/10.1007/s10476-016-0101-5

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