Sharp affine Sobolev type inequalities via the $\Lp$ Busemann-Petty centroid inequality
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2015
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917954095939584 |
|---|---|
| author | Haddad, Julian Jimenez, C. Hugo Montenegro, Marcos |
| author_facet | Haddad, Julian Jimenez, C. Hugo Montenegro, Marcos |
| contents | We show that the $\Lp$ Busemann-Petty centroid inequality provides an elementary and powerful tool to the study of some sharp affine functional inequalities with a geometric content, like log-Sobolev, Sobolev and Gagliardo-Nirenberg inequalities. Our approach allows also to characterize directly the corresponding equality cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1505_07763 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Sharp affine Sobolev type inequalities via the $\Lp$ Busemann-Petty centroid inequality Haddad, Julian Jimenez, C. Hugo Montenegro, Marcos Functional Analysis Metric Geometry 46E35 (Primary), 51M16 (Secondary) We show that the $\Lp$ Busemann-Petty centroid inequality provides an elementary and powerful tool to the study of some sharp affine functional inequalities with a geometric content, like log-Sobolev, Sobolev and Gagliardo-Nirenberg inequalities. Our approach allows also to characterize directly the corresponding equality cases. |
| title | Sharp affine Sobolev type inequalities via the $\Lp$ Busemann-Petty centroid inequality |
| topic | Functional Analysis Metric Geometry 46E35 (Primary), 51M16 (Secondary) |
| url | https://arxiv.org/abs/1505.07763 |