On equivalence of Lp-norms related to Schrödinger type operators on Riemannian manifolds

被引：0
|
作者：
Tomohiro Miyokawa
Ichiro Shigekawa
机构：
[1] Kyoto University,Department of Mathematics, Graduate School of Science
来源：
Probability Theory and Related Fields | 2006年 / 135卷
关键词：
Manifold; Stochastic Process; Probability Theory; Riemannian Manifold; Potential Function;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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 Lp space. In the proof, the defective intertwining properties and the Littlewood-Paley inequalities play important roles.
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页码：487 / 519
页数：32
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