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Research Article | Open Access

Some new characterizations of boundedness of commutators of p-adic maximal-type functions on p-adic Morrey spaces in terms of Lipschitz spaces

Naqash Sarfraz1( ), Muhammad Bilal Riaz2,3, Qasim Ali Malik1
Department of Mathematics, University of Kotli Azad Jammu and Kashmir, 11100, Pakistan
IT4Innovations, VSB-Technical University of Ostrava, Ostrava, Czech Republic
Department of Computer Science and Mathematics, Lebanese American University, Byblos, Lebanon
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Abstract

In this note, we investigate some new characterizations of the p-adic version of Lipschitz spaces via the boundedness of commutators of the p-adic maximal-type functions, including p-adic sharp maximal functions, p-adic fractional maximal functions, and p-adic fractional maximal commutators on p-adic Morrey spaces, when a symbol function b belongs to the Lipschitz spaces.

Keywords

p-adic sharp maximal functionp-adic fractional maximal functionp-adic Morrey spacesLipschitz spacecommutators
CLC number: 26A51, 26A33, 26D10

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AIMS Mathematics
Volume 9 Issue 7,
July 2024
Pages 19756-19770
DOI: 10.3934/math.2024964

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Sarfraz N, Riaz MB, Malik QA. Some new characterizations of boundedness of commutators of p-adic maximal-type functions on p-adic Morrey spaces in terms of Lipschitz spaces. AIMS Mathematics, 2024, 9(7): 19756-19770. https://doi.org/10.3934/math.2024964

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Received: 12 March 2024
Revised: 27 May 2024
Accepted: 28 May 2024
Published: 15 July 2024
©2024 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)