Commutators of parameter Marcinkiwicz integral with functions in Campanato spaces on Orlicz-Morrey spaces

Abstract

In this paper, we consider the commutator M? ?,b generated by the locally integrable function b in generalized Campanato spaces and the parameter Marcinkiwicz integral with the rough kernel M? ?, where the rough kernel ? satisfies certain log-type regularity. Meanwhile, a necessary and sufficient condition for the boundedness of the commutator on Orlicz-Morrey spaces is established.