Commutators of the Fractional Hardy Operator on Weighted Variable Herz-Morrey Spaces

Abstract

In the present paper, our aim is to establish the boundedness of commutators of the fractional Hardy operator and its adjoint operator on weighted Herz-Morrey spaces with variable exponents $\text{M}{\dot{\text{K}}}_{p,q\left(\cdot \right)}^{\alpha \left(\cdot \right),\lambda }\left(w\right)$ .