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Logarithmic Sobolev Inequalities on Path Spaces Over Riemannian Manifolds

โœ Scribed by Elton P. Hsu


Publisher
Springer
Year
1997
Tongue
English
Weight
135 KB
Volume
189
Category
Article
ISSN
0010-3616

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The Log-Sobolev Inequality on Loop Space
โœ Fu-Zhou Gong; Zhi-Ming Ma ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 371 KB

We obtain a log-Sobolev inequality with a neat and explicit potential for the gradient on a based loop space over a compact Riemannian manifold. The potential term relies only on the curvature of the manifold and the Hessian of the heat kernel, and is L p -integrable for all p 1. The log-Sobolev ine