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Some estimates for rough Hausdorff operators on the Heisenberg group

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Abstract

The purposes of this article is to establish some necessary and sufficient conditions for the boundedness of the rough Hausdorff operators on weighted Herz, central Morrey and Morrey–Herz spaces on the Heisenberg group. By applying the block decomposition method, the authors also obtain the boundedness of the rough Hausdorff operators on weighted Herz spaces for the case \(p\in (0,1)\).

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Acknowledgements

The authors are grateful to the anonymous reviewer for the valuable suggestions and comments which lead to the improvement of the paper. The authors would like to thank Professor Nguyen Minh Chuong for many valuable discussions.

Funding

Kieu Huu Dung would like to thank Van Lang University, Vietnam for funding this work.

Author information

Authors and Affiliations

  1. Faculty of Fundamental Sciences, Van Lang University, Ho Chi Minh City, Vietnam

    Kieu Huu Dung

  2. School of Mathematics, Mientrung University of Civil Engineering, Tuy Hoa, Phu Yen, Vietnam

    Dao Van Duong

Authors
  1. Kieu Huu Dung
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  2. Dao Van Duong
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Correspondence to Kieu Huu Dung.

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Communicated by S. Ponnusamy.

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Dung, K.H., Van Duong, D. Some estimates for rough Hausdorff operators on the Heisenberg group. J Anal 31, 1425–1445 (2023). https://doi.org/10.1007/s41478-022-00523-w

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  • DOI: https://doi.org/10.1007/s41478-022-00523-w

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