Fractional oscillatory integral operators and their commutators on generalized Orlicz–Morrey spaces of the third kind

We deal with the generalized Orlicz–Morrey space $M_{\Phi,\varphi}$ of the third kind and consider the boundedness of the oscillatory integral operators and fractional oscillatory integral operators on $M_{\Phi,\varphi}$. 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.