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On the Existence of Extremals for Moser-Type Inequalities in Gauss Space

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F22%3A10456522" target="_blank" >RIV/00216208:11320/22:10456522 - isvavai.cz</a>

  • Result on the web

    <a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=to1VyHg-Ja" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=to1VyHg-Ja</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1093/imrn/rnaa165" target="_blank" >10.1093/imrn/rnaa165</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On the Existence of Extremals for Moser-Type Inequalities in Gauss Space

  • Original language description

    The existence of an extremal in an exponential Sobolev-type inequality, with optimal constant, in Gauss space is established. A key step in the proof is an augmented version of the relevant inequality, which, by contrast, fails for a parallel classical inequality by Moser in the Euclidean space.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GA18-00580S" target="_blank" >GA18-00580S: Function Spaces and Approximation</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2022

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    International Mathematics Research Notices

  • ISSN

    1073-7928

  • e-ISSN

    1687-0247

  • Volume of the periodical

    2022

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    44

  • Pages from-to

    1494-1537

  • UT code for WoS article

    000744313900022

  • EID of the result in the Scopus database

    2-s2.0-85119131540