| 실적년도 | 2013년 |
|---|---|
| 논문구분 | 국외 |
| 총저자 | Panki Kim, Renming Song, Zoran Vondracek |
| 학술지명 | Stochastic Processes and their Applications |
| 권(Vol.) | 123 |
| 호(No.) | 3 |
| 게재년월 | 2013년 |
| Impact Factor | |
| SCI 등재 | SCI |
| 비고 |
In this paper we study a subordinate Brownian motion with a Gaussian component and a rather general discontinuous part. The assumption on the subordinator is that its Laplace exponent is a complete Bernstein function with a Lévy density satisfying a certain growth condition near zero. The main result is a boundary Harnack principle with explicit boundary decay rate for non-negative harmonic functions of the process in C1,1 open sets. As a consequence of the boundary Harnack principle, we establish sharp two-sided estimates on the Green function of the subordinate Brownian motion in any bounded C1,1 open set D and identify the Martin boundary of D with respect to the subordinate Brownian motion with the Euclidean boundary.
