Product generalized local Morrey spaces and commutators of multi-sublinear operators generated by multilinear Calder\'on-Zygmund operators and local Campanato functions

TL;DR

This paper investigates the boundedness of commutators of multi-sublinear operators, generated by local Campanato functions and multilinear Calderón-Zygmund operators, on product generalized local Morrey spaces, advancing harmonic analysis theory.

Contribution

It establishes boundedness results for these commutators on generalized local Morrey spaces, extending previous work to a broader class of operators and function spaces.

Findings

Boundedness of commutators on generalized local Morrey spaces.

Extension of multilinear Calderón-Zygmund operator theory.

Application to local Campanato functions.

Abstract

The aim of this paper is to get the boundedness of the commutators of multi-sublinear operators generated by local campanato functions and multilinear Calder\'on-Zygmund operators on the product generalized local Morrey spaces.