On equivalence of L p -norms related to Schrödinger type operators on Riemannian manifolds |
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Authors: | Tomohiro Miyokawa Ichiro Shigekawa |
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Affiliation: | (1) Department of Mathematics, Graduate School of Science, Kyoto University, Sakyo-ku, Kyoto 606-8502, Japan |
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Abstract: | In this paper, we study Schrödinger type operator on a Riemannian manifold. Under some assumptions on a potential function, we characterize the domain of the square root of the Schrödinger type operator on L p space. In the proof, the defective intertwining properties and the Littlewood-Paley inequalities play important roles. |
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