| 概要 | I will discuss the recent results in the boundary theory of alphaharmonic functions: the uniform boundary Harnack inequality (BHI) and Martin representation on arbitrary open sets. The proof of BHI is much simpler and shorter than in the classical case of harmonic functions, and can be easily adapted to a more general setting. In the Martin representation, the Martin boundary is identified with a subset of the Euclidean boundary. The talk will be based on a joint work with K. Bogdan and T. Kulczycki. |