Transportation cost inequalities on path spaces over Riemannian manifolds
Wang, Feng-Yu
Illinois J. Math., Volume 46 (2002) no. 3, p. 1197-1206 / Harvested from Project Euclid
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Some transportation cost inequalities are established on the path space over a connected complete Riemannian manifold with Ricci curvature bounded from below. The reference distance on the path space is the $L^2$-norm of the Riemannian distance along paths.
Published online : 2002-10-15
Classification:  58J65,  47D06,  60H10 
@article{1258138474,
     author = {Wang, Feng-Yu},
     title = {Transportation cost inequalities on path spaces over Riemannian manifolds},
     journal = {Illinois J. Math.},
     volume = {46},
     number = {3},
     year = {2002},
     pages = { 1197-1206},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138474}
}

Wang, Feng-Yu. Transportation cost inequalities on path spaces over Riemannian manifolds. Illinois J. Math., Volume 46 (2002) no. 3, pp.  1197-1206. http://gdmltest.u-ga.fr/item/1258138474/