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Research Article | Open Access

Hardy–Littlewood maximal operators and Hausdorff operators on p-adic block spaces with variable exponents

Pham Thi Kim Thuy1, Kieu Huu Dung2( )
Department of Mathematics, FPT University, Hanoi, Vietnam
Faculty of Fundamental Sciences, Van Lang University, Ho Chi Minh City, Vietnam
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Abstract

In this paper, we established some sufficient conditions for the boundedness of the Hardy–Littlewood maximal operators and the Hausdorff operators on p-adic Herz spaces and p-adic local block spaces with variable exponents. In particular, the boundedness of the p-adic maximal commutator operators, the p-adic Hardy–Littlewood average operators, and the p-adic Hardy-Hilbert operators on such spaces was also discussed.

Keywords

Hardy–Littlewood maximal operatormaximal commutator operatorHardy-type operatorsHausdorff operatorHerz spaceblock spacevariable exponentp-adic analysis
CLC number: 26D15, 42B25, 42B99

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AIMS Mathematics
Volume 9 Issue 8,
August 2024
Pages 23060-23087
DOI: 10.3934/math.20241121

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Cite this article:
Thuy PTK, Dung KH. Hardy–Littlewood maximal operators and Hausdorff operators on p-adic block spaces with variable exponents. AIMS Mathematics, 2024, 9(8): 23060-23087. https://doi.org/10.3934/math.20241121

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Received: 22 May 2024
Revised: 09 July 2024
Accepted: 12 July 2024
Published: 15 August 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)