On an extension of the Blaschke-Santalo inequality
| dc.creator | Alonso-Gutierrez, David | |
| dc.date | 2007-10-31 | |
| dc.date.accessioned | 2026-07-07T08:39:45Z | |
| dc.date.available | 2026-07-07T08:39:45Z | |
| dc.description | Let $K$ be a convex body and $K^\circ$ its polar body. Call $ϕ(K)=\frac{1}{|K||K^\circ|}\int_K\int_{K^\circ}< x,y>^2 dxdy$. It is conjectured that $ϕ(K)$ is maximum when $K$ is the euclidean ball. In particular this statement implies the Blaschke-Santalo inequality. We verify this conjecture when $K$ is restricted to be a $p$--ball. | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/0710.5907 | |
| dc.identifier | http://arxiv.org/abs/0710.5907 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141180 | |
| dc.subject | Functional Analysis | |
| dc.subject | 52A20; 52A40; 46B20 | |
| dc.title | On an extension of the Blaschke-Santalo inequality | |
| dc.type | text |