Boundedness for commutators of fractional integrals on Herz-Morrey spaces with variable exponent

TL;DR

This paper investigates the boundedness of commutators of fractional integrals on Herz-Morrey spaces with variable exponents, utilizing properties of variable exponent functions and BMO functions.

Contribution

It establishes new boundedness results for these commutators on variable exponent Herz-Morrey spaces, extending previous work to more general function spaces.

Findings

Boundedness of commutators of fractional integrals proved on Herz-Morrey spaces with variable exponents.

Utilizes properties of variable exponents and BMO functions to achieve results.

Extends classical boundedness results to more general, variable exponent settings.

Abstract

In this paper, some boundedness for commutators of fractional integrals are obtained on Herz-Morrey spaces with variable exponent applying some properties of varible exponent and $\BMO$ function.