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Multilinear Hausdorff operators on weighted Herz and Morrey–Herz spaces with variable exponent

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Abstract

In the setting of Heisenberg group, by means of block decomposition, we establish the boundedness of Hausdorff operators on Herz spaces with variable exponent. Furthermore, we also obtain the boundedness of multilinear Hausdorff operators on the product of weighted Herz and Morrey–Herz spaces with variable exponent.

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Acknowledgements

The authors would like to express great gratitude to the referees for their careful reading and valuable comments.

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Author notes

  1. Jiman Zhao contributed equally to this work.

Authors and Affiliations

  1. Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China

    Dongli Liu

  2. School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China

    Jiman Zhao

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  1. Dongli Liu
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  2. Jiman Zhao
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Correspondence to Jiman Zhao.

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Jiman Zhao is supported by National Key Research and Development Program of China (No.2020YFA0712900) and the National Natural Science Foundation of China (Nos.11471040 and 11761131002)

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Liu, D., Zhao, J. Multilinear Hausdorff operators on weighted Herz and Morrey–Herz spaces with variable exponent. J. Pseudo-Differ. Oper. Appl. 13, 6 (2022). https://doi.org/10.1007/s11868-021-00437-4

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  • DOI: https://doi.org/10.1007/s11868-021-00437-4

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