Boundedness of commutators of some maximal functions with BMO function on $p$-adic Orlicz spaces

Abstract

In this paper, the main aim is to demonstrate boundedness of the commutators of the fractional maximal function and the sharp maximal function in the context of the $p$-adic version of Orlicz spaces, where the symbols of the commutators belong to the $p$-adic version of BMO space. As a corollary, we also obtain boundedness of the maximal commutator in the context of the $p$-adic version of Orlicz spaces, whereby some new characterizations for BMO spaces are given.