Modified Hardy and Hardy–Littlewood Fractional Operators in Morrey–Herz Spaces and Their Commutators in Weighted Spaces

摘要

Abstract In this paper, we obtain sufficient conditions of the boundedness of modified fractional Hardy–Littlewood and Hardy operators acting from one modified Morrey–Herz space to another. We also study the boundedness of commutators of these operators acting from one weighted space with a power weight to another.