Intrinsic Ultracontractivity, Conditional Lifetimes and Conditional Gauge for Symmetric Stable Processes on Rough Domains
| dc.creator | Chen, Zhen-Qing | |
| dc.creator | Song, Renming | |
| dc.date | 1998-09-29 | |
| dc.date.accessioned | 2026-07-07T05:26:13Z | |
| dc.date.available | 2026-07-07T05:26:13Z | |
| dc.description | For a symmetric $α$-stable process $X$ on $\RR^n$ with $0<α<2$, $n\geq 2$ and a domain $D \subset \RR^n$, let $L^D$ be the infinitesimal generator of the subprocess of $X$ killed upon leaving $D$. For a Kato class function $q$, it is shown that $L^D+q$ is intrinsic ultracontractive on a Hölder domain $D$ of order 0. This is then used to establish the conditional gauge theorem for $X$ on bounded Lipschitz domains in $\RR^n$. It is also shown that the conditional lifetimes for symmetric stable process in a Hölder domain of order 0 are uniformly bounded. | |
| dc.identifier | https://arxiv.org/abs/math/9809180 | |
| dc.identifier | http://arxiv.org/abs/math/9809180 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77468 | |
| dc.subject | Probability | |
| dc.title | Intrinsic Ultracontractivity, Conditional Lifetimes and Conditional Gauge for Symmetric Stable Processes on Rough Domains | |
| dc.type | text |