Domains with Hyperbolic Orbit Accumulation Boundary Points

초록

Let Omega be a smoothly bounded pseudoconvex domain in a", (n) satisfying the condition R. Suppose that its Bergman kernel extends to (Omega)over bar x (Omega)over bar minus the boundary diagonal set as a locally bounded function. In this paper we show that for each hyperbolic orbit accumulation boundary point p, there exists a contraction f is an element of Aut(Omega) at p. As an application, we show that Omega admits a hyperbolic orbit accumulation boundary point if and only if it is biholomorphically equivalent to a domain defined by a weighted homogeneous polynomial and that Omega is of finite D'Angelo type.

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