Abstract.
Some properties of a diffusion semigroup are proved to be equivalent to the curvature lower bound condition of its generator. In particular, the dimension-free Harnack inequality established in [1] holds if and only if the curvature is bounded below.
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wang, FY. Equivalence of Dimension-Free Harnack Inequality and Curvature Condition. Integr. equ. oper. theory 48, 547–552 (2004). https://doi.org/10.1007/s00020-002-1264-y
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/s00020-002-1264-y