【摘要】 利用凸映射的构造方法,给出单位球Β~2上的α次殆星映射的有界构造,推广单位球Β~2上星形映射的结果.作为应用,建立α次殆星映射与L?ewner链的关系,从L?ewner链角度刻画Β~2上α次殆星映射的性质,且给出f为α次殆星映射的两个等价命题.更多还原

【Abstract】 We give some bounded construction of almost starlike mappings of order α in the unit ball Β~2 by using the construction of convex mappings, which generalize the result of starlike mappings on the unit ball Β~2. As an application, we establish the connection between the almost starlike mappings of order α and the L?ewner chain. The properties of almost starlike mappings of order α on Β~2 are described from the L?ewner chain and two equivalent propositions that f is almost starlike mappings of order α are given.更多还原