Boundary Harnack Principle for Subordinate Brownian Motions
نویسندگان
چکیده
We establish a boundary Harnack principle for a large class of subordinate Brownian motion, including mixtures of symmetric stable processes, in bounded κ-fat open set (disconnected analogue of John domains). As an application of the boundary Harnack principle, we identify the Martin boundary and the minimal Martin boundary of bounded κ-fat open sets with respect to these processes with their Euclidean boundary. AMS 2000 Mathematics Subject Classification: Primary 60J45, Secondary 60J25, 60J51.
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