Some estimates for generalized commutators of rough fractional maximal and integral operators on generalized weighted Morrey spaces

TL;DR

This paper develops BMO estimates for generalized commutators of rough fractional maximal and integral operators within generalized weighted Morrey spaces, advancing understanding of their boundedness properties.

Contribution

It introduces new BMO estimates for these commutators on generalized weighted Morrey spaces, extending previous results to more general operators and spaces.

Findings

Established BMO estimates for the commutators

Extended boundedness results to generalized weighted Morrey spaces

Provided new insights into rough fractional operators

Abstract

In this paper, we establish BMO estimates for generalized commutators of rough fractional maximal and integral operators on generalized weighted Morrey spaces, respectively.