Boundary Harnack principle for subordinate Brownian motions
We establish a boundary Harnack principle for a large class of subordinate Brownian motions, including mixtures of symmetric stable processes, in [kappa]-fat open sets (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 [kappa]-fat open sets with respect to these processes with their Euclidean boundaries.
Year of publication: |
2009
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Authors: | Kim, Panki ; Song, Renming ; Vondracek, Zoran |
Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 119.2009, 5, p. 1601-1631
|
Publisher: |
Elsevier |
Keywords: | Green functions Poisson kernels Subordinator Subordinate Brownian motion Bernstein functions Complete Bernstein functions Symmetric stable processes Mixture of symmetric stable processes Harmonic functions Harnack inequality Boundary Harnack principle Martin boundary |
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