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

被引：3

作者：

Miyokawa, Tomohiro ^{[1
]}

Shigekawa, Ichiro ^{[1
]}

机构：

[1] Kyoto Univ, Grad Sch Sci, Dept Math, Sakyo Ku, Kyoto 6068502, Japan

来源：

PROBABILITY THEORY AND RELATED FIELDS | 2006年 / 135卷 / 04期

关键词：

D O I：

10.1007/s00440-005-0437-4

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper, we study Schrodinger type operator on a Riemannian manifold. Under some assumptions on a potential function, we characterize the domain of the square root of the Schrodinger type operator on L-p space. In the proof, the defective intertwining properties and the Littlewood-Paley inequalities play important roles.

引用

页码：487 / 519

页数：33

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