Hausdorff operator and commutator on weighted Morrey–Herz spaces on p-adic fields

Abstract

The aim of this paper is to establish some necessary and sufficient conditions for the boundedness of the Hausdorff operators on two-weighted central Morrey, Herz, and Morrey–Herz spaces on the p-adic fields. Moreover, the sufficient conditions of boundedness of commutators of p-adic Hausdorff operators with symbols in the Lipschitz spaces on two-weighted central Morrey and Morrey–Herz spaces are also given.