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
Sobolev Spaces over Loop Groups
โ Scribed by S. Aida
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 494 KB
- Volume
- 127
- Category
- Article
- ISSN
- 0022-1236
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