Hypercontractivity on the unit circle for ultraspherical measures: linear case

Paata Ivanisvili; Alexander Lindenberger; Paul Müller; Michael Schmuckenschläger

doi:10.4171/RMI/1305

Hypercontractivity on the unit circle for ultraspherical measures: linear case

Paata Ivanisvili, Alexander Lindenberger, Paul Müller, Michael Schmuckenschläger

Department of Functional Analysis

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1335–1348
Number of pages	14
Journal	Revista Matemática Iberoamericana
Volume	38
Issue number	4
DOIs	https://doi.org/10.4171/RMI/1305
Publication status	Published - 2022

Fields of science

101002 Analysis
101032 Functional analysis

JKU Focus areas

Digital Transformation

Access to Document

10.4171/RMI/1305

Cite this

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title = "Hypercontractivity on the unit circle for ultraspherical measures: linear case",

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

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year = "2022",

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language = "English",

volume = "38",

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journal = "Revista Matem{\'a}tica Iberoamericana",

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AU - Ivanisvili, Paata

AU - Lindenberger, Alexander

AU - Müller, Paul

AU - Schmuckenschläger, Michael

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

U2 - 10.4171/RMI/1305

DO - 10.4171/RMI/1305

M3 - Article

SN - 0213-2230

VL - 38

SP - 1335

EP - 1348

JO - Revista Matemática Iberoamericana

JF - Revista Matemática Iberoamericana

IS - 4

ER -