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

Hypercontractivity on the unit circle for ultraspherical measures: linear case

  • Paata Ivanisvili

    Johannes Kepler Universität Linz, Austria

  • Alexander Lindenberger

    University of California, Irvine, USA

  • Paul F. X. Müller

    Johannes Kepler Universität Linz, Austria

  • Michael Schmuckenschläger

    Johannes Kepler Universität Linz, Austria
Hypercontractivity on the unit circle for ultraspherical measures: linear case cover
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Abstract

In this paper we extend complex uniform convexity estimates for C\mathbb{C} to Rn\mathbb{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