## Electronic Communications in Probability

### Sharp Bounds for Green and Jumping Functions of Subordinate Killed Brownian Motions

#### Abstract

In this paper we obtain sharp bounds for the Green function and jumping function of a subordinate killed Brownian motion in a bounded $C^{1,1}$ domain, where the subordinating process is a subordinator whose Laplace exponent has certain asymptotic behavior at infinity.

#### Article information

Source
Electron. Commun. Probab., Volume 9 (2004), paper no. 11, 96-105.

Dates
Accepted: 6 October 2004
First available in Project Euclid: 26 May 2016

https://projecteuclid.org/euclid.ecp/1464286691

Digital Object Identifier
doi:10.1214/ECP.v9-1114

Mathematical Reviews number (MathSciNet)
MR2108856

Zentralblatt MATH identifier
1060.60078

Subjects
Secondary: 60J75: Jump processes

Rights

#### Citation

Song, Renming; Vondracek, Zoran. Sharp Bounds for Green and Jumping Functions of Subordinate Killed Brownian Motions. Electron. Commun. Probab. 9 (2004), paper no. 11, 96--105. doi:10.1214/ECP.v9-1114. https://projecteuclid.org/euclid.ecp/1464286691

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