摘要
This paper studies the Reinhardt domains B defined as（?）The Schwartz lemma for B is established.Using it the authors give a necessary andsu fficient condition that a local biholomorphic mapping from B to C<sup>n</sup> is starlike.It isreduced to the Suffridge’s theorem in the case p<sub>1</sub>=p<sub>2</sub>=…=p<sub>n</sub>】1.
This paper studies the Reinhardt domains B defined as [GRAPHICS] The Schwartz lemma for B is established. Using it the authors give a necessary and sufficient condition that a local biholomorphic mapping from B to C(n) is starlike. It is reduced to the Suffridge's theorem in the case p1 = p2 = ... = p(n) > 1.
基金
Projects supported by the National Natuzal Science Foundation of China
