有界平衡拟凸域上星形映射的一个新特征

A NEW CHARACTER FOR STARLIKE MAPPING ON BOUNDED BALANCED PSEUDOCONVEX DOMAIN

假定Ω是Cn中具有C2定义函数的有界平衡拟凸域.本文证明Ω上的每一星形映射f能表示成Schwarz映射的极限形式.作为应用,得到有界平衡拟凸域上星形映射的增长定理.最后给出星形映射的一个的等价刻画.

Let Ω be a bounded balanced pseudoconvex domain in Cn that admits a defining function of class C2, and assume that f is a starlike mapping on Ω, the paper shows that f can be expressed a limiting form concerning a Schwarz mapping. As a consequence, the authors construct the growth theorem for starlike mappings on bounded balanced pseudoconvex domain, and give a new character for starlike mappings.