Grand Weighted Variable Herz-Morrey Spaces Estimates for Higher Order Commutators of Fractional Integrals

Abstract

In this paper, we establish the boundedness for higher order commutators generated by fractional integral with BMO function Iβ,bm on weighted variable exponent Herz-Morrey spaces MḰq, p(·)}α,λ(ω). At the same time, we also get the boundedness for Iβ,bm on grand weighted variable exponent Herz-Morrey spaces MḰq, p(·)}α,λ(ω). AMS Subject Classification(2020): 46E30, 47B38