Sharp trace inequalities for fractional Laplacians
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2011
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866910963216678912 |
|---|---|
| author | Einav, Amit Loss, Michael |
| author_facet | Einav, Amit Loss, Michael |
| contents | The sharp trace inequality of Jose Escobar is extended to traces for the fractional Laplacian on R^n and a complete characterization of cases of equality is discussed. The proof proceeds via Fourier transform and uses Lieb's sharp form of the Hardy-Littlewood-Sobolev inequality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1105_4079 |
| institution | arXiv |
| publishDate | 2011 |
| record_format | arxiv |
| spellingShingle | Sharp trace inequalities for fractional Laplacians Einav, Amit Loss, Michael Analysis of PDEs 35A23 The sharp trace inequality of Jose Escobar is extended to traces for the fractional Laplacian on R^n and a complete characterization of cases of equality is discussed. The proof proceeds via Fourier transform and uses Lieb's sharp form of the Hardy-Littlewood-Sobolev inequality. |
| title | Sharp trace inequalities for fractional Laplacians |
| topic | Analysis of PDEs 35A23 |
| url | https://arxiv.org/abs/1105.4079 |