Potential Theory of Truncated Stable Processes
| dc.creator | Kim, Panki | |
| dc.creator | Song, Renming | |
| dc.date | 2006-05-18 | |
| dc.date | 2006-09-19 | |
| dc.date.accessioned | 2026-07-07T07:14:24Z | |
| dc.date.available | 2026-07-07T07:14:24Z | |
| dc.description | For any 0 < alpha <2, a truncated symmetric alpha-stable process is a symmetric Levy process in R^d with a Levy density given by c|x|^{-d-alpha} 1_{|x|< 1} for some constant c. In this paper we study the potential theory of truncated symmetric stable processes in detail. We prove a Harnack inequality for nonnegative harmonic nonnegative functions these processes. We also establish a boundary Harnack principle for nonnegative functions which are harmonic with respect to these processes in bounded convex domains. We give an example of a non-convex domain for which the boundary Harnack principle fails. | |
| dc.description | 35 page, to appear in Mathematische Zeitschrift | |
| dc.identifier | https://arxiv.org/abs/math/0605533 | |
| dc.identifier | http://arxiv.org/abs/math/0605533 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112857 | |
| dc.subject | Probability | |
| dc.subject | 60J45 | |
| dc.title | Potential Theory of Truncated Stable Processes | |
| dc.type | text |