Between Sobolev and Poincar\'e
Probability
2015-01-06 v1 Functional Analysis
Abstract
We establish a family of functional inequalities interpolating between the classical logarithmic Sobolev and Poincar\'e inequalities. We prove that they imply the concentration of measure phenomenon intermediate between Gaussian and exponential. Our bounds are close to optimal.
Cite
@article{arxiv.math/0003043,
title = {Between Sobolev and Poincar\'e},
author = {Rafał Latała and Krzysztof Oleszkiewicz},
journal= {arXiv preprint arXiv:math/0003043},
year = {2015}
}
Comments
23 pages