Schrödinger type operators on generalized Morrey spaces
Schrödinger type operators on generalized Morrey spaces
In this paper we introduce a class of generalized Morrey spaces associated with the Schrödinger operator $L=-\Delta+V$ . Via a pointwise estimate, we obtain the boundedness of the operators $V^{\beta_{2}}(-\Delta +V)^{-\beta_{1}}$ and their dual operators on these Morrey spaces.