Resumen de Hypercontractivity on the unit circle for ultraspherical measures: linear case

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

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