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arxiv: 1504.05075 · v2 · pith:Q7PBVXJSnew · submitted 2015-04-14 · 🧮 math.CA

Schr\"odinger type operators on generalized Morrey spaces

classification 🧮 math.CA
keywords 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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