Weak Poincaré inequalities on domains defined by Brownian rough paths
Weak Poincaré inequalities on domains defined by Brownian rough paths
复制标题
DOI：
10.1214/009117904000000478
复制
发表时间：
2004-10
影响因子：
2.3
通讯作者：
S. Aida
中科院分区：
文献类型：
--
作者：
S. Aida
证明了Wiener空间中开集的逆象域上的弱Poincare不等式在布朗粗糙路的连续函数下的存在性。这一结果适用于紧致黎曼流形上路空间的环群和连通开子集上的Dirichlet型。
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.