Commutators Generated by Singular Integral Operators with Variable Kernels and Local Campanato Functions on Generalized Local Morrey Spaces

Abstract

In this paper, we obtain the boundedness for the singular integral operator with rough variable kernel $T_\Omega$ on the generalized local Morrey spaces, as well as the boundedness for the multilinear commutators generated by $T_\Omega$ and local Campanato functions.