Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592834 | Journal of Functional Analysis | 2008 | 34 Pages |
Abstract
In this paper, we obtain a reinforcement of an inequality due to Brascamp and Lieb and a reinforcement of Poincaré's inequality for general logarithmical concave measures on Rd. The formula used in the proof is related to theorems concerning the integration of log-concave functions (such as results of Prékopa and of Ball, Barthe and Naor). We also obtain a lower bound for the variance of the same family of measures.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory