Characterizations of parabolic fractional integral operators on generalized parabolic Morrey spaces

In this paper we shall give a characterization for the Spanne-Guliyev and Adams-Guliyev type boundedness of the parabolic fractional integral operator Iα,P in the generalized parabolic Morrey spaces). We also give criteria for the weak versions of the Spanne-Guliyev and Adams-Guliyev type boundedness of Iα,P on the generalized parabolic Morrey spaces.