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Boundary Harnack principle and Martin boundary at infinity for subordinate Brownian motions (CROSBI ID 195596)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Kim, Panki ; Song, Renming ; Vondraček, Zoran Boundary Harnack principle and Martin boundary at infinity for subordinate Brownian motions // Potential analysis, 41 (2014), 2; 407-441. doi: 10.1007/s11118-013-9375-4

Podaci o odgovornosti

Kim, Panki ; Song, Renming ; Vondraček, Zoran

engleski

Boundary Harnack principle and Martin boundary at infinity for subordinate Brownian motions

In this paper we study the Martin boundary of unbounded open sets at infinity for a large class of subordinate Brownian motions. We first prove that, for such subordinate Brownian motions, the uniform boundary Harnack principle at infinity holds for arbitrary unbounded open sets. Then we introduce the notion of $\kappa$-fatness at infinity for open sets and show that the Martin boundary at infinity of any such open set consists of exactly one point and that point is a minimal Martin boundary point.

Levy processes ; subordinate Brownian motion ; harmonic functions ; boundary Harnack principle ; Martin kernel ; Martin boundary ; Poisson kernel

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Podaci o izdanju

41 (2)

2014.

407-441

objavljeno

0926-2601

1572-929X

10.1007/s11118-013-9375-4

Povezanost rada

Matematika

Poveznice
Indeksiranost