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The Sobolev inequality for Paneitz operator on three manifolds

✍ Scribed by Fengbo Hang; Paul C. Yang


Publisher
Springer
Year
2004
Tongue
English
Weight
270 KB
Volume
21
Category
Article
ISSN
0944-2669

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The Log-Sobolev Inequality on Loop Space
✍ Fu-Zhou Gong; Zhi-Ming Ma πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 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