Hyper contractivity on the unit circle for ultraspherical measures: linear case
Functional Analysis
2020-04-14 v1
Abstract
In this paper we extend complex uniform convexity estimates for to and determine best constants. Furthermore we provide the link to log-Sobolev inequalities and hypercontractivity estimates for ultraspherical measures.
Cite
@article{arxiv.2004.05567,
title = {Hyper contractivity on the unit circle for ultraspherical measures: linear case},
author = {Paata Ivanisvili and Alexander Lindenberger and Paul F. X. Müller and Michael Schmuckenschläger},
journal= {arXiv preprint arXiv:2004.05567},
year = {2020}
}
Comments
11 pages, 2 figures