FRACTIONAL OSCILLATORY INTEGRAL OPERATORS AND THEIR COMMUTATORS ON GENERALIZED ORLICZ-MORREY SPACES OF THE THIRD KIND

Abstract

We deal with the generalized Orlicz-Morrey space M-Phi,M-phi of the third kind and consider the boundedness of the oscillatory integral operators and fractional oscillatory integral operators on M-Phi,M-phi. Some integral estimates for generalized Orlicz-Morrey spaces of the third kind are also obtained by using weighted Hardy operators. The corresponding commutators generated by BMO-functions are also considered.