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Sharp bounds for Green functions and jumping functions of subordinate killed Brownian motions in bounded \(C^ {1,1}\) domains. (English) Zbl 1060.60078
Summary: 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.

MSC:
60J45 Probabilistic potential theory
60J75 Jump processes (MSC2010)
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