Schr\"odinger type operators on generalized Morrey spaces
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math.CA
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morreyoperatorsspacesbetadeltageneralizedodingerschr
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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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