Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591324 | Journal of Functional Analysis | 2012 | 31 Pages |
Abstract
Let M be a smooth connected manifold endowed with a smooth measure μ and a smooth locally subelliptic diffusion operator L which is symmetric with respect to μ. We assume that L satisfies a generalized curvature dimension inequality as introduced by Baudoin and Garofalo (2009) [9]. Our goal is to discuss functional inequalities for μ like the Poincaré inequality, the log-Sobolev inequality or the Gaussian logarithmic isoperimetric inequality.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory