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arXiv · 1504.05075

Schr\"odinger type operators on generalized Morrey spaces

Pengtao Li·Xin Wan·Chuangyuan Zhang
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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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Pengtao Li, Xin Wan, Chuangyuan Zhang. 2015-04-14. Schr\"odinger type operators on generalized Morrey spaces. https://arxiv.org/abs/1504.05075

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