Hypercontractivity on the unit circle for ultraspherical measures: linear case

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

Type: Article

Publication Date: 2021-11-15

Citations: 0

DOI: https://doi.org/10.4171/rmi/1305

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.

Locations

Revista Matemática Iberoamericana - View - PDF
arXiv (Cornell University) - View - PDF

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Works That Cite This (0)

Action	Title	Year	Authors

Works Cited by This (4)

Action	Title	Year	Authors
+	Logarithmic Sobolev inequalities and hypercontractive estimates on the circle	1980	Fred B. Weissler
+	Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere	1982	Carl Mueller Fred B. Weissler
+	The complex convexity of quasi-normed linear spaces	1984	William J. Davis D. J. H. Garling Nicole Tomczak-Jaegermann
+	Sharp Complex Convexity Estimates	2019	Alexander Lindenberger Paul F. X. Müller Michael Schmuckenschläger