Preprint Article Version 1 This version is not peer-reviewed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

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