Boundary Harnack Principle for Subordinate Brownian Motions

dc.creatorKim, Panki
dc.creatorSong, Renming
dc.creatorVondracek, Zoran
dc.date2007-08-20
dc.date.accessioned2026-07-07T08:24:22Z
dc.date.available2026-07-07T08:24:22Z
dc.descriptionWe establish a boundary Harnack principle for a large class of subordinate Brownian motion, including mixtures of symmetric stable processes, in bounded $κ$-fat open set (disconnected analogue of John domains). As an application of the boundary Harnack principle, we identify the Martin boundary and the minimal Martin boundary of bounded $κ$-fat open sets with respect to these processes with their Euclidean boundary.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/0708.2583
dc.identifierhttp://arxiv.org/abs/0708.2583
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136317
dc.subjectProbability
dc.subject60J45, 60J25, 60J51
dc.titleBoundary Harnack Principle for Subordinate Brownian Motions
dc.typetext

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