Informace o publikaci
On the Existence of Extremals for Moser-Type Inequalities in Gauss Space
| Autoři | |
|---|---|
| Rok publikování | 2022 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | INTERNATIONAL MATHEMATICS RESEARCH NOTICES |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | https://academic.oup.com/imrn/article/2022/2/1494/5877129 |
| Doi | http://dx.doi.org/10.1093/imrn/rnaa165 |
| Přiložené soubory | |
| Popis | 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. |