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On Certain Rough Marcinkiewicz Integral Operators with Grafakos-Stefanov Kernels on Product Spaces
Version 1
: Received: 24 June 2024 / Approved: 24 June 2024 / Online: 24 June 2024 (12:04:06 CEST)
A peer-reviewed article of this Preprint also exists.
Al-Qassem, H.; Ali, M. On Certain Rough Marcinkiewicz Integral Operators with Grafakos-Stefanov Kernels on Product Spaces. Symmetry 2024, 16, 955. Al-Qassem, H.; Ali, M. On Certain Rough Marcinkiewicz Integral Operators with Grafakos-Stefanov Kernels on Product Spaces. Symmetry 2024, 16, 955.
Abstract
In this paper, several classes of rough Marcinkiewicz integral operators along surfaces of revolution on product spaces are investigated. We prove the Lp boundedness of these operators when their kernels functions belong to a class of functions related to a class of functions introduced by Grafakos-Stefanov. The results in this paper extend and improve several known results on Marcinkiewicz integrals.
Keywords
Lp bound; rough Marcinkiewiz integrals; surfaces of revolution; product domains; Grafakos-Stefanov class
Subject
Computer Science and Mathematics, Analysis
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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