CIANCHI, Andrea, Vít MUSIL and Luboš PICK. On the Existence of Extremals for Moser-Type Inequalities in Gauss Space. INTERNATIONAL MATHEMATICS RESEARCH NOTICES. ENGLAND: OXFORD UNIV PRESS, 2022, vol. 2022, No 2, p. 1494-1537. ISSN 1073-7928. Available from: https://dx.doi.org/10.1093/imrn/rnaa165.
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Basic information
Original name On the Existence of Extremals for Moser-Type Inequalities in Gauss Space
Authors CIANCHI, Andrea, Vít MUSIL and Luboš PICK.
Edition INTERNATIONAL MATHEMATICS RESEARCH NOTICES, ENGLAND, OXFORD UNIV PRESS, 2022, 1073-7928.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher United Kingdom of Great Britain and Northern Ireland
Confidentiality degree is not subject to a state or trade secret
WWW URL
Impact factor Impact factor: 1.000
Organization unit Faculty of Informatics
Doi http://dx.doi.org/10.1093/imrn/rnaa165
UT WoS 000744313900022
Tags International impact, Reviewed
Changed by Changed by: RNDr. Vít Musil, Ph.D., učo 246021. Changed: 5/2/2024 00:11.
Abstract
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.
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