Some remarks about the positivity of random variables on a Gaussian probability space
| dc.creator | Feyel, D. | |
| dc.creator | Ustunel, A. S. | |
| dc.date | 2004-09-16 | |
| dc.date.accessioned | 2026-07-07T05:12:10Z | |
| dc.date.available | 2026-07-07T05:12:10Z | |
| dc.description | Let $(W,H,μ)$ be an abstract Wiener space and $L$ be a probability density of class LlogL. Using the measure transportation of Monge-Kantorovitch, we prove that the kernel of the projection of L on the second Wiener chaos defines an (Hilbert-Schmidt) operator which is lower bounded by another Hilbert-Schmidt operator. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/math/0409268 | |
| dc.identifier | http://arxiv.org/abs/math/0409268 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72488 | |
| dc.subject | Probability | |
| dc.subject | 60H07, 60H05, 60H25, 46G12, 47H05 | |
| dc.title | Some remarks about the positivity of random variables on a Gaussian probability space | |
| dc.type | text |