Green function estimate for censored stable processes
The censored stable processes were defined by \textit{K. Bogdan, K. Burdzy} and \textit{Z.-Q. Chen} [``Censored stable processes'' (Preprint 2001)]. The paper under review gives a sharp, two-sided estimate for the Green function of such a process in bounded \(C^{1,1}\) open sets from \(R^{n}\). For such domains, it is shown that the Martin boundary and the minimal Martin boundary of the process are identified with the Euclidean boundary. Sharp, two-sided estimates for the Martin kernel are also obtained.
scientific article; zbMATH DE number 1903696