Weak Poincaré inequalities on domains defined by Brownian rough paths
Aida, Shigeki
Ann. Probab., Tome 32 (2004) no. 1A, p. 3116-3137 / Harvested from Project Euclid
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We prove weak Poincaré 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.
Publié le : 2004-10-14
Classification:  Weak Poincaré inequality,  Brownian rough path,  convexity,  logarithmic Sobolev inequality,  60H07,  60H10,  58J65 
@article{1107883348,
     author = {Aida, Shigeki},
     title = {Weak Poincar\'e inequalities on domains defined by Brownian rough paths},
     journal = {Ann. Probab.},
     volume = {32},
     number = {1A},
     year = {2004},
     pages = { 3116-3137},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1107883348}
}

Aida, Shigeki. Weak Poincaré inequalities on domains defined by Brownian rough paths. Ann. Probab., Tome 32 (2004) no. 1A, pp.  3116-3137. http://gdmltest.u-ga.fr/item/1107883348/