Sharp Function Inequality for Multilinear Commutator of Singular Integral Operators with Non-Smooth Kernels

Wang Zhiwei; Liu Lanzhe

doi:10.71712/

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Published: 2025-08-08

DOI: https://doi.org/10.71712/

Keywords:

Singular integral operator, Multilinear commutator, Sharp estimate, BMO

Wang Zhiwei

Department of Mathematics Changsha University of Science and Technology Changsha 410077, P. R. of China.

Liu Lanzhe

Department of Mathematics Changsha University of Science and Technology Changsha 410077, P. R. of China

Abstract

In this paper, we establish a sharp function estimate for some multi-linear commutator of the singular integral operators with non-smooth kernels. As the application, we obtain the \(L^p(1 < p < \infty)\) norm inequality for the multilinear commutator.

Issue

Vol. 19 (2010)

Section

Articles

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Wang Zhiwei, & Liu Lanzhe. (2025). Sharp Function Inequality for Multilinear Commutator of Singular Integral Operators with Non-Smooth Kernels. Scientia Series A: Mathematical Sciences, 19, 45-56. https://doi.org/10.71712/