# Boundedness of Fractional Integral operators and their commutators in vanishing generalized weighted Morrey spaces

## TL;DR

This paper investigates the boundedness of fractional integral operators and their commutators in vanishing generalized weighted Morrey spaces, providing new conditions for their boundedness and exploring the role of BMO functions.

## Contribution

It introduces new boundedness conditions for fractional integral operators and their commutators in vanishing generalized weighted Morrey spaces, extending existing theory.

## Key findings

- Established boundedness conditions for fractional integral operators.
- Analyzed commutators generated by BMO functions.
- Extended the theory of Morrey spaces and integral operators.

## Abstract

In this article, we establish some conditions for the boundedness of fractional integral operators on the vanishing generalized weighted Morrey spaces. We also investigate corresponding commutators generated by BMO functions.