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Research Article | Open Access

Weighted Lp boundedness of maximal operators with rough kernels

Hussain Al-Qassem1( ), Mohammed Ali2
Department of Mathematics and Statistics, Qatar University, Doha, Qatar
Department of Mathematics and Statistics, Faculty of Science and Arts, Jordan University of Science and Technology, P.O. Box 3030, Irbid 22110, Jordan
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Abstract

In this paper, we study the weighted spaces Lp(ω,Rd) boundedness of certain class of maximal operators when their kernels belong to the space Lq(Sd−1), q>1. Our results in this paper are improvements and extensions of some previously known results.

Keywords

maximal functionsLp boundednessrough kernelssurfaces of revolutionextrapolation
CLC number: 42B20, 42B25

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AIMS Mathematics
Volume 9 Issue 9,
September 2024
Pages 25966-25978
DOI: 10.3934/math.20241269

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Cite this article:
Al-Qassem H, Ali M. Weighted Lp boundedness of maximal operators with rough kernels. AIMS Mathematics, 2024, 9(9): 25966-25978. https://doi.org/10.3934/math.20241269

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Received: 20 July 2024
Revised: 22 August 2024
Accepted: 27 August 2024
Published: 15 September 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)