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Some new weighted estimates for p-adic multilinear Hausdorff type operator and its commutators on Morrey–Herz spaces

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Abstract

The aim of this paper is to discuss the boundedness of multilinear Hausdorff type operators on two-weighted Morrey spaces and Morrey–Herz spaces on the p-adic fields. In particular, we give new necessary and sufficient conditions of sup-inf type for the boundedness of p-adic multilinear Hausdorff type operators on two-weighted Morrey–Herz p-adic spaces. Furthermore, the boundedness of the commutators of these operators with symbols in Lipschitz spaces on such spaces is obtained.

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Acknowledgements

The authors would like to express their sincere thanks to the anonymous referees for several helpful comments and suggestions.

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Authors and Affiliations

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

    Dao Van Duong & Ngo Thi Hong

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  1. Dao Van Duong
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  2. Ngo Thi Hong
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Correspondence to Dao Van Duong.

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Communicated by Daniel Pellegrino.

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Van Duong, D., Thi Hong, N. Some new weighted estimates for p-adic multilinear Hausdorff type operator and its commutators on Morrey–Herz spaces. Adv. Oper. Theory 7, 32 (2022). https://doi.org/10.1007/s43036-022-00196-z

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