K──表示域

On K- representative Domains

本文证明了两个结论：（a）设D是有界圆型域，O∈D，对于其任意不变度量的核函数K，如果f∈Aut（D），f（t）＝0那么f有（1＇）的表示形成。（b）设Ω是关于坐标分量对称的有界Rrinhardt域，O∈Ω，如果f∈Aut（Ω）且f（o）＝0，那么f必为酉变换。此外还给了Chrtan引理另外一个证明。

In this article we prove the following two theoreies (a) let D be a bounded circular domain,0∈D. If K is an arbitrary kernel of the invariant metric. and f∈ Aut (D), f(t) = 0. then f can bewhiten with formula (1' )(b) Let Ω be a bounded Reinhardt domain whose coordinates are symmetric, 0∈ Ω. If fΩ Aut(Ω), f(0) = 0, then f must be a unitary transformation.