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
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Czech description
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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