Hypercontractivity on the unit circle for ultraspherical measures: linear case
Paata Ivanisvili
Johannes Kepler Universität Linz, AustriaAlexander Lindenberger
University of California, Irvine, USAPaul F.X. Müller
Johannes Kepler Universität Linz, AustriaMichael Schmuckenschläger
Johannes Kepler Universität Linz, Austria
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 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