A characterization of brownian motion in a lipschitz domain by its killing distributions |
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| Authors: | Zoran Vondraček |
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| Affiliation: | (1) Department of Mathematics, University of Zagreb, Zagreb, Yugoslavia |
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| Abstract: | Let (Yt, Qx) be a strong Markov process in a bounded Lipschitz domainD with continuous paths up to its lifetime  , and let (Xt, Px) be a Brownian motion inD. IfY– exists in  D andQx(Y–  C)=Px(X– C) for all Borel subsetsC of D and allx, thenY is a time change ofX. |
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| Keywords: | Brownian motion time-change Lipschitz domain kernel function |
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