Local Functional Inequalities in One Dimensional Free Probability
Probability
2012-09-26 v2 Functional Analysis
Abstract
In this note we introduce and prove local and potential independent transportation, Log-Sobolev and HWI inequalities in one dimensional free probability on compact intervals which are sharp. We recover using this approach a free transportation inequality on the whole real line which was put forward recently by M. Maida and E. Maurel-Segala.
Cite
@article{arxiv.1209.2970,
title = {Local Functional Inequalities in One Dimensional Free Probability},
author = {Ionel Popescu},
journal= {arXiv preprint arXiv:1209.2970},
year = {2012}
}
Comments
This version has some small fixes and a remark added