Weak Poincare inequalities on domains defined by brownian rough paths

• 成果类型: Article
• 署名作者: Aida, S
• 署名单位: University of Osaka
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/009117904000000478
• 发表日期: 2004
• 页码: 3116-3137
• 关键词: schrodinger-operators; dirichlet forms; wiener-spaces; irreducibility; semigroups/; gap

摘要

We prove weak Poincare inequalities on domains which are inverse images of open sets in Wiener spaces under continuous functions of Brownian rough paths. The result is applicable to Dirichlet forms on loop groups and connected open subsets of path spaces over compact Riemannian manifolds.