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arXiv · 0708.2583

Boundary Harnack Principle for Subordinate Brownian Motions

Panki Kim·Renming Song·Zoran Vondracek
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Abstract

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.

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Panki Kim, Renming Song, Zoran Vondracek. 2007-08-20. Boundary Harnack Principle for Subordinate Brownian Motions. https://arxiv.org/abs/0708.2583

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