Article
Version 1
This version is not peer-reviewed
Estimates for Certain Rough Multiple Singular Integrals on Triebel-Lizorkin Space
Version 1
: Received: 26 August 2024 / Approved: 26 August 2024 / Online: 27 August 2024 (17:06:35 CEST)
How to cite: Al-Qassem, H.; Ali, M. Estimates for Certain Rough Multiple Singular Integrals on Triebel-Lizorkin Space. Preprints 2024, 2024081914. https://doi.org/10.20944/preprints202408.1914.v1 Al-Qassem, H.; Ali, M. Estimates for Certain Rough Multiple Singular Integrals on Triebel-Lizorkin Space. Preprints 2024, 2024081914. https://doi.org/10.20944/preprints202408.1914.v1
Abstract
This paper focuses on studying the mapping properties of singular integral operators on product spaces. The boundedness of such operators is established on Triebel-Lizorkin spaces whenever their kernel functions belong to Grafakos and Stefanov class. Our results generalize and improve some previously known results.
Keywords
Triebel-Lizorkin space; singular integrals; Rough kernels; product spaces
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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