Schrödinger type operators on generalized Morrey spaces

Published 14 Apr 2015 in math.CA | (1504.05075v2)

Abstract: In this paper we introduce a class of generalized Morrey spaces associated with Schr\"odinger 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.

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