Boundedness of fractional oscillatory integral operators and their commutators on generalized Morrey spaces
Department of Mathematics, Nigde University, Nigde, Turkey
Boundary Value Problems 2013, 2013:70 doi:10.1186/1687-2770-2013-70Published: 2 April 2013
In this paper, it is proved that both oscillatory integral operators and fractional oscillatory integral operators are bounded on generalized Morrey spaces . The corresponding commutators generated by BMO functions are also considered.
MSC: 42B20, 42B25, 42B35.