Fractional type multilinear commutators generated by fractional integral with rough variable kernel and local Campanato functions on generalized vanishing local Morrey spaces

TL;DR

This paper investigates the boundedness of complex multilinear commutators involving fractional integrals with rough variable kernels on advanced Morrey spaces, extending harmonic analysis tools.

Contribution

It introduces new boundedness results for fractional multilinear commutators with rough kernels on generalized Morrey spaces, broadening the scope of harmonic analysis applications.

Findings

Boundedness established on generalized local Morrey spaces

Boundedness established on generalized vanishing local Morrey spaces

Applicable to a wide class of harmonic analysis operators

Abstract

In this paper, we consider the boundedness of fractional type multilinear commutators generated by fractional integral with rough variable kernel and local Campanato functions on both generalized local (central) Morrey spaces and generalized vanishing local Morrey spaces, under generic size conditions which are satisfied by most of the operators in harmonic analysis, respectively.