Naslov
Martin boundary of unbounded sets for purely discontinuous Feller processes

Autori
Kim, Panki ; Song, Renming ; Vondraček, Zoran

Izvornik
Forum mathematicum (0933-7741) 28 (2015), 6; 1067-1086

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Martin boundary ; Martin kernel ; purely discontinuous Feller process ; L\'evy process

Sažetak
In this paper, we study the Martin kernels of general open sets associated with inaccessible points for a large class of purely discontinuous Feller processes in metric measure spaces. Let $D$ be an unbounded open set. Infinity is accessible from $D$ if the expected exit time from $D$ is infinite, and inaccessible otherwise. We prove that under suitable assumptions there is only one Martin boundary point associated with infinity, and that this point is minimal if and only if infinity is accessible from $D$. Similar results are also proved for finite boundary points of $D$.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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