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arXiv · 2004.05567

Hyper contractivity on the unit circle for ultraspherical measures: linear case

Paata Ivanisvili·Alexander Lindenberger·Paul F. X. Müller·Michael Schmuckenschläger
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Abstract

In this paper we extend complex uniform convexity estimates for $\mathbb{C}$ to $ \mathbb{R}^n$ and determine best constants. Furthermore we provide the link to log-Sobolev inequalities and hypercontractivity estimates for ultraspherical measures.

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Paata Ivanisvili, Alexander Lindenberger, Paul F. X. Müller, Michael Schmuckenschläger. 2020-04-12. Hyper contractivity on the unit circle for ultraspherical measures: linear case. https://arxiv.org/abs/2004.05567

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