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Hypercontractivity on the unit circle for ultraspherical measures: linear case (Q2157365)

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scientific article; zbMATH DE number 7564710
Language Label Description Also known as
English
Hypercontractivity on the unit circle for ultraspherical measures: linear case
scientific article; zbMATH DE number 7564710

    Statements

    title
    Hypercontractivity on the unit circle for ultraspherical measures: linear case (English)
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    publication date
    27 July 2022
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    review text
    Summary: 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.
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    zbMATH Keywords
    functional inequalities
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    hypercontractivity
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    ultraspherical measure
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    best constants
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    Identifiers

    DOI
    10.4171/RMI/1305
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    zbMATH DE Number
    7564710
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