Pregled bibliografske jedinice broj: 642791
Boundary Harnack principle and Martin boundary at infinity for subordinate Brownian motions
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 (međunarodna recenzija, članak, znanstveni)
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Naslov
Boundary Harnack principle and Martin boundary at infinity for subordinate Brownian motions
Autori
Kim, Panki ; Song, Renming ; Vondraček, Zoran
Izvornik
Potential analysis (0926-2601) 41
(2014), 2;
407-441
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Levy processes ; subordinate Brownian motion ; harmonic functions ; boundary Harnack principle ; Martin kernel ; Martin boundary ; Poisson kernel
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
MZOS-037-0372790-2801 - Slučajni procesi sa skokovima (Vondraček, Zoran, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Zoran Vondraček
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
