Hypercontractivity on the unit circle for ultraspherical measures: linear case

Paata Ivanisvili; Alexander Lindenberger; Paul F.X. Müller; Michael Schmuckenschläger

doi:10.4171/rmi/1305

JournalsrmiVol. 38, No. 4pp. 1335–1348

Hypercontractivity on the unit circle for ultraspherical measures: linear case

Paata Ivanisvili
Johannes Kepler Universität Linz, Austria
- MathSciNet
- zbMATH Open
Alexander Lindenberger
University of California, Irvine, USA
- MathSciNet
- zbMATH Open
Paul F.X. Müller
Johannes Kepler Universität Linz, Austria
- MathSciNet
- zbMATH Open
Michael Schmuckenschläger
Johannes Kepler Universität Linz, Austria
- MathSciNet
- zbMATH Open

Download PDF

This article is published open access under our Subscribe to Open model.

Abstract

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

Cite this article

Paata Ivanisvili, Alexander Lindenberger, Paul F.X. Müller, Michael Schmuckenschläger, Hypercontractivity on the unit circle for ultraspherical measures: linear case. Rev. Mat. Iberoam. 38 (2022), no. 4, pp. 1335–1348

DOI 10.4171/RMI/1305