由布朗粗糙路径定义的域上的弱 Poincare 不等式
概率论
2007-05-23 v1
摘要
我们证明在由布朗粗糙路径的连续函数下 Wiener 空间中开集的逆像所定义的域上的弱 Poincare 不等式。该结果可应用于环群上的 Dirichlet 形式和紧黎曼流形上路径空间的连通开子集。
引用
@article{arxiv.math/0503587,
title = {Weak Poincare inequalities on domains defined by Brownian rough paths},
author = {Shigeki Aida},
journal= {arXiv preprint arXiv:math/0503587},
year = {2007}
}
备注
Published at http://dx.doi.org/10.1214/009117904000000478 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)