Sobolev spaces, Laplacian, and heat kernel on Alexandrov spaces
โ Scribed by Kazuhiro Kuwae; Yoshiroh Machigashira; Takashi Shioya
- Publisher
- Springer-Verlag
- Year
- 2001
- Tongue
- French
- Weight
- 395 KB
- Volume
- 238
- Category
- Article
- ISSN
- 0025-5874
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper we will prove the logarithmic Sobolev inequality on free loop groups for various heat kernel measures which P. Malliavin (1989Malliavin ( , 1991, in ``Diffusion Process and Related Problems in Analysis (M. A. Pinsley, Ed.), Vol. I, Birkha user, Basel) constructed. Those measures are as
dedicated to professor norio shimakura on the occasion of his sixtieth birthday In this paper, we will give a sufficient condition on the logarithmic derivative of the heat kernel under which a logarithmic Sobolev inequality (LSI, in abbreviation) on a loop space holds. As an application, we prove