有界平衡域上一类螺旋映射的增长定理

The Growth Theorem of a Kind of Spirallike Mappings on Bounded Balanced Pseudoconvex Domain

给出有界平衡域上一类螺旋映射的参数表示,作为应用建立了其增长定理,进一步给出了这类映射即星形映射的一个刻画.所讨论的域是非常广泛的,包括了复椭球和四类典型域,这些结果涵盖了先前已知的结果.

In this paper,the parametric representation of a kind of spirallike mappings is given on bounded balanced pseudoconvex domain.As a direct application the growth theorem is set up.Moreover,a character of starlike mappings and a kind of spirallike mappings is obtained.In this paper,the domain is very broad,including the ellipsoid and four types of classical domains.