Weak Poincare inequalities on domains defined by Brownian rough paths

Details Weak Poincare inequalities on domains defined by Brownian rough paths Weak Poincare inequalities on domains defined by Brownian rough paths

2005-03-25

arxiv.org/abs/math/0503587v1

Annals of Probability 2004, Vol. 32, No. 4, 3116-3137

Mathematics

Probability

Published at http://dx.doi.org/10.1214/009117904000000478 in the Annals of Probability (http://www.imstat.org/aop/) by the Ins

Scientific paper

10.1214/009117904000000478

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.

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