R. Song

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math.PR1998

Intrinsic Ultracontractivity, Conditional Lifetimes and Conditional Gauge for Symmetric Stable Processes on Rough Domains

Zhen-Qing Chen, Renming Song

For a symmetric $α$ -stable process $X$ on $\RR^n$ with $0 < α < 2$ , $n \geq 2$ and a domain $D \subset \RR^n$, let $L^{D}$ be the infinitesimal generator of the subprocess of $X$ killed u…

math.PR1998

Martin Boundary and Integral Representation for Harmonic Functions of Symmetric Stable Processes

Zhen-Qing Chen, Renming Song

Martin boundaries and integral representations of positive functions which are harmonic in a bounded domain $D$ with respect to Brownian motion are well understood. Unlike the Brow…