Title of article
Boundary Harnack principle for subordinate Brownian motions
Author/Authors
Kim، نويسنده , , Panki and Song، نويسنده , , Renming and Vondra?ek، نويسنده , , Zoran، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
31
From page
1601
To page
1631
Abstract
We establish a boundary Harnack principle for a large class of subordinate Brownian motions, including mixtures of symmetric stable processes, in κ -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 κ -fat open sets with respect to these processes with their Euclidean boundaries.
Keywords
harmonic functions , Boundary Harnack principle , MAR , Bernstein functions , Poisson kernels , Subordinator , Complete Bernstein functions , Subordinate Brownian motion , Symmetric stable processes , Mixture of symmetric stable processes , Harnack inequality , Green functions
Journal title
Stochastic Processes and their Applications
Serial Year
2009
Journal title
Stochastic Processes and their Applications
Record number
1578120
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