Publication details
On the Existence of Extremals for Moser-Type Inequalities in Gauss Space
| Authors | |
|---|---|
| Year of publication | 2022 |
| Type | Article in Periodical |
| Magazine / Source | INTERNATIONAL MATHEMATICS RESEARCH NOTICES |
| MU Faculty or unit | |
| Citation | |
| web | https://academic.oup.com/imrn/article/2022/2/1494/5877129 |
| Doi | https://doi.org/10.1093/imrn/rnaa165 |
| Attached files | |
| 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. |