Between Sobolev and Poincar\'e
概率论
2015-01-06 v1 泛函分析
摘要
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.
引用
@article{arxiv.math/0003043,
title = {Between Sobolev and Poincar\'e},
author = {Rafał Latała and Krzysztof Oleszkiewicz},
journal= {arXiv preprint arXiv:math/0003043},
year = {2015}
}
备注
23 pages