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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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