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Multilinear Hausdorff operator on p-adic functional spaces and its applications

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Abstract

In this paper, we give new necessary and sufficient conditions for the boundedness of p-adic multilinear Hausdorff operators on two-weighted Morrey spaces and Herz spaces. As consequences, we obtain the sharp bounds of p-adic multilinear Hilbert operator, p-adic multilinear Hardy operator and p-adic multilinear Hardy–Littlewood–Pólya operator on two-weighted Herz spaces.

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Acknowledgements

The authors would like to express their sincere thanks to the anonymous referees for several valuable comments and suggestions to improve the paper. We are grateful to Professor Tserendorj Batbold for sending us the manuscript [4] and several helpful discussions.

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  1. School of Mathematics, Mientrung University of Civil Engineering, 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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Van Duong, D., Hong, N.T. Multilinear Hausdorff operator on p-adic functional spaces and its applications. Anal.Math.Phys. 12, 86 (2022). https://doi.org/10.1007/s13324-022-00696-4

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  • DOI: https://doi.org/10.1007/s13324-022-00696-4

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