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Keywords = rough Marcinkiewiz integrals

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Article
On Certain Rough Marcinkiewicz Integral Operators with Grafakos-Stefanov Kernels on Product Spaces
by Hussain Al-Qassem and Mohammed Ali
Symmetry 2024, 16(8), 955; https://doi.org/10.3390/sym16080955 - 26 Jul 2024
Viewed by 1119
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 [...] Read more.
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 over a symmetric space. Full article
(This article belongs to the Section Mathematics)
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