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Hausdorff operator and commutator on weighted Morrey–Herz spaces on p-adic fields

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Abstract

The aim of this paper is to establish some necessary and sufficient conditions for the boundedness of the Hausdorff operators on two-weighted central Morrey, Herz, and Morrey–Herz spaces on the p-adic fields. Moreover, the sufficient conditions of boundedness of commutators of p-adic Hausdorff operators with symbols in the Lipschitz spaces on two-weighted central Morrey and Morrey–Herz spaces are also given.

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Acknowledgements

The author would like to thank the anonymous referees for several helpful remarks and suggestions to improve the paper. I am deeply grateful to Professor Nguyen Minh Chuong and Professor Sergey Volosivets for many valuable discussions and suggestions.

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  1. School of Mathematics, Mientrung University of Civil Engineering, Phu Yen, Vietnam

    Dao Van Duong

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Van Duong, D. Hausdorff operator and commutator on weighted Morrey–Herz spaces on p-adic fields. Anal.Math.Phys. 11, 31 (2021). https://doi.org/10.1007/s13324-020-00460-6

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