| CIANCHI, Andrea, Vít MUSIL a Luboš PICK. On the Existence of Extremals for Moser-Type Inequalities in Gauss Space. INTERNATIONAL MATHEMATICS RESEARCH NOTICES. ENGLAND: OXFORD UNIV PRESS, 2022, roč. 2022, č. 2, s. 1494-1537. ISSN 1073-7928. Dostupné z: https://dx.doi.org/10.1093/imrn/rnaa165. |
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@article{2369849,
author = {Cianchi, Andrea and Musil, Vít and Pick, Luboš},
article_location = {ENGLAND},
article_number = {2},
doi = {http://dx.doi.org/10.1093/imrn/rnaa165},
language = {eng},
issn = {1073-7928},
journal = {INTERNATIONAL MATHEMATICS RESEARCH NOTICES},
title = {On the Existence of Extremals for Moser-Type Inequalities in Gauss Space},
url = {https://academic.oup.com/imrn/article/2022/2/1494/5877129},
volume = {2022},
year = {2022}
}
TY - JOUR
ID - 2369849
AU - Cianchi, Andrea - Musil, Vít - Pick, Luboš
PY - 2022
TI - On the Existence of Extremals for Moser-Type Inequalities in Gauss Space
JF - INTERNATIONAL MATHEMATICS RESEARCH NOTICES
VL - 2022
IS - 2
SP - 1494-1537
EP - 1494-1537
PB - OXFORD UNIV PRESS
SN - 10737928
UR - https://academic.oup.com/imrn/article/2022/2/1494/5877129
N2 - 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.
ER -
CIANCHI, Andrea, Vít MUSIL a Luboš PICK. On the Existence of Extremals for Moser-Type Inequalities in Gauss Space. \textit{INTERNATIONAL MATHEMATICS RESEARCH NOTICES}. ENGLAND: OXFORD UNIV PRESS, 2022, roč.~2022, č.~2, s.~1494-1537. ISSN~1073-7928. Dostupné z: https://dx.doi.org/10.1093/imrn/rnaa165.
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