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Research Article | Open Access

Rough fractional integral and its multilinear commutators on p-adic generalized Morrey spaces

Yanlong Shi1( ), Xiangxing Tao2
Zhejiang Pharmaceutical University, Ningbo, Zhejiang, 315100, China
Department of Mathematics, School of Science, Zhejiang University of Science and Technology, Hangzhou, Zhejiang, 310023, China
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Abstract

In this paper, we establish the boundedness of rough p-adic fractional integral operators on p-adic generalized Morrey spaces, as well as the boundedness of multilinear commutators generated by rough p-adic fractional integral operator and p-adic generalized Campanato functions. Moreover, the boundedness in classical Morrey is given as corollaries.

Keywords

rough p-adic fractional integralmultilinear commutatorp-adic generalized Morrey spacesp-adic generalized Campanato function
CLC number: 42B20, 42B25, 42B35

References

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AIMS Mathematics
Volume 8 Issue 7,
July 2023
Pages 17012-17026
DOI: 10.3934/math.2023868

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Cite this article:
Shi Y, Tao X. Rough fractional integral and its multilinear commutators on p-adic generalized Morrey spaces. AIMS Mathematics, 2023, 8(7): 17012-17026. https://doi.org/10.3934/math.2023868

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Received: 22 December 2022
Revised: 23 April 2023
Accepted: 02 May 2023
Published: 15 July 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)