A note for some parabolic multilinear commutators generated by a class of parabolic maximal and linear operators with rough kernel on the parabolic generalized local Morrey spaces

TL;DR

This paper investigates the boundedness of certain parabolic multilinear commutators with rough kernels on parabolic generalized local Morrey spaces, extending previous results in the field.

Contribution

It introduces new boundedness results for parabolic multilinear commutators generated by rough kernel operators on specialized function spaces.

Findings

Boundedness of parabolic multilinear commutators established

Extensions of known results to broader function spaces

Results applicable to parabolic maximal and linear operators with rough kernels

Abstract

In this paper, we give the boundedness of some parabolic multilinear commutators generated by a class of parabolic maximal and linear operators with rough kernel and parabolic local Campanato functions on the parabolic generalized local Morrey spaces, respectively. Indeed, the results in this paper are extensions of some known results.