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

• 成果类型: Article
• 署名作者: Miyokawa, Tomohiro; Shigekawa, Ichiro
• 署名单位: Kyoto University
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-005-0437-4
• 发表日期: 2006
• 页码: 487-519
• 关键词: vector-valued functions; contraction-semigroups; l(p)

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.