| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4668990 | Bulletin des Sciences Mathématiques | 2011 | 13 Pages |
Abstract
Some equivalent gradient and Harnack inequalities of a diffusion semigroup are presented for the curvature-dimension condition of the associated generator. As applications, the first eigenvalue, the log-Harnack inequality, the heat kernel estimates, and the HWI inequality are derived by using the curvature-dimension condition. The transportation inequality for diffusion semigroups is also investigated.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
