Characterizations for the Nonsingular Integral Operator and its Commutators on Generalized Orlicz-Morrey Spaces

Abstract

We show continuity in generalized Orlicz-Morrey spaces M (Phi,phi) (R-+(n)) 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 Phi,phi (R-+(n)).