Boundary Harnack principle for subordinate Brownian motions (CROSBI ID 144341)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Kim, Panki ; Song, Renming ; Vondraček, Zoran
engleski
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.
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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Podaci o izdanju
119 (5)
2009.
1601-1631
objavljeno
0304-4149
1879-209X
10.1016/j.spa.2008.08.003