Some estimates for commutators of sharp maximal function on the p-adic Lebesgue spaces

Abstract

In this article, the main aim is to consider the boundedness of the nonlinear commutator of p p -adic sharp maximal operator ℳ p ♯ {{\mathcal{ {\mathcal M} }}}_{p}^{\sharp } with symbols belonging to the p p -adic Lipschitz spaces in the context of the p p -adic version of (variable) Lebesgue spaces, by which some new characterizations of the Lipschitz spaces are obtained in the p p -adic field context.