Naslov
On the potential theory of one-dimensional subordinate Brownian motions with continuous components

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

Izvornik
Potential analysis (0926-2601) 33 (2010), 2; 153-173

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

Ključne riječi
subordinator ; subordinate Brownian motion ; Green function ; Poisson kernel ; boundary Harnack principle

Sažetak
Suppose that $S$ is a subordinator with a nonzero drift and $W$ is an independent 1-dimensional Brownian motion. We study the subordinate Brownian motion $X$ defined by $X_t=W(S_t)$. We give sharp bounds for the Green function of the process $X$ killed upon exiting a bounded open interval and prove a boundary Harnack principle. In the case when $S$ is a stable subordinator with a positive drift, we prove sharp bounds for the Green function of $X$ in $(0, \infty)$, and sharp bounds for the Poisson kernel of $X$ in a bounded open interval.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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