Estimates for Certain Rough Multiple Singular Integrals on Triebel–Lizorkin Space

Abstract

This paper focuses on studying the mapping properties of singular integral operators over product symmetric spaces. The boundedness of such operators is established on Triebel–Lizorkin spaces whenever their rough kernel functions belong to the Grafakos and Stefanov class. Our findings generalize, extend and improve some previously known results on singular integral operators.

Keywords

• Triebel–Lizorkin space
• singular integrals
• rough kernels
• product spaces