Naslov
Martin boundary for some symmetric Levy processes

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

Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni

Knjiga
Festschrift Masatoshi Fukushima

Urednik/ci
Chen, Zhen-Qing ; Jacob, Niels ; Takeda, Masayoshi ; Uemura, Toshihiro

Izdavač
World Scientific Publishing

Grad
Singapur

Godina
2015

Raspon stranica
307-342

ISBN
978-981-4596-52-7

Ključne riječi
Levy process, subordinate Brownian motion, Martin boundary, Martin kernel, boundary Harnack principle, Green function

Sažetak
In this paper we study the Martin boundary of open sets with respect to a large class of purely discontinuous symmetric L\'evy processes in $\R^d$. We show that, if $D\subset \R^d$ is an open set which is $\kappa$-fat at a boundary point $Q\in \partial D$, then there is exactly one Martin boundary point associated with $Q$ and this Martin boundary point is minimal.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA