Boundary Harnack Principle for Subordinate Brownian Motions

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We 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.
34 pages

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Probability, 60J45, 60J25, 60J51

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http://salesiana.dossiersoluciones.com/handle/123456789/136317

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.2583
 http://arxiv.org/abs/0708.2583

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arXiv