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Research Article | Open Access

On rough generalized Marcinkiewicz integrals along surfaces of revolution on product spaces

Mohammed Ali1, Hussain Al-Qassem2( )
Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan
Mathematics Program, Department of Mathematics, Statistics and Physics, College of Arts and Sciences, Qatar University, 2713, Doha, Qatar
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Abstract

In this paper, we prove the L p boundedness of generalized Marcinkiewicz operators along surfaces of revolution on product spaces under very weak conditions on the the singular kernels. Our results generalize and improve many previously known results.

Keywords

singular kernelsMarcinkiewicz integralsgeneralized Marcinkiewiczproduct domainssurfaces of revolution
CLC number: 42B20, 42B25, 42B35

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AIMS Mathematics
Volume 9 Issue 2,
February 2024
Pages 4816-4829
DOI: 10.3934/math.2024233

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Cite this article:
Ali M, Al-Qassem H. On rough generalized Marcinkiewicz integrals along surfaces of revolution on product spaces. AIMS Mathematics, 2024, 9(2): 4816-4829. https://doi.org/10.3934/math.2024233

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Received: 12 November 2023
Revised: 10 January 2024
Accepted: 12 January 2024
Published: 15 February 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)