Equivalent semigroup properties for the curvature-dimension condition. (English) Zbl 1230.60083
Author’s 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, heat kernel estimates and the HWI inequality are derived by using the curvature-dimension condition. The transportation inequality for diffusion semigroups is also investigated.”
Reviewer: Hiroaki Shimomura (Tokyo)
MSC:
| 60J60 | Diffusion processes |
References:
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