A note on subgaussian estimates for linear functionals on convex bodies
| dc.creator | Giannopoulos, Apostolos | |
| dc.creator | Pajor, Alain | |
| dc.creator | Paouris, Grigoris | |
| dc.date | 2006-04-12 | |
| dc.date.accessioned | 2026-07-07T07:10:52Z | |
| dc.date.available | 2026-07-07T07:10:52Z | |
| dc.description | We give an alternative proof of a recent result of Klartag on the existence of almost subgaussian linear functionals on convex bodies. If $K$ is a convex body in ${\mathbb R}^n$ with volume one and center of mass at the origin, there exists $x\neq 0$ such that $$|\{y\in K: |< y,x> |\gr t\|<\cdot, x>\|_1\}|\ls\exp (-ct^2/\log^2(t+1))$$ for all $t\gr 1$, where $c>0$ is an absolute constant. The proof is based on the study of the $L_q$--centroid bodies of $K$. Analogous results hold true for general log-concave measures. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0604299 | |
| dc.identifier | http://arxiv.org/abs/math/0604299 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/111559 | |
| dc.subject | Functional Analysis | |
| dc.subject | Metric Geometry | |
| dc.subject | 46B07, 52A20 | |
| dc.title | A note on subgaussian estimates for linear functionals on convex bodies | |
| dc.type | text |