Characterizations for the nonsingular integral operator and its commutators on generalized Orlicz-Morrey spaces

Abstract

We show continuity in generalized Orlicz-Morrey spaces M??(Rn +) of nonsingular integral operators and its commutators with BMO functions. We shall give necessary and sufficient conditions for the boundedness of the nonsingular integral operator and its commutators on generalized Orlicz-Morrey spaces M??(Rn +). © 2010 AZJM All rights reserved.