摘要
In this paper,we prove that the generalized Roper-Suffridge extension operator can be embedded in Loewner chains on the unit ball in Hibert spaces,and obtain the fact that the operator keeps the properties of almost spirallike mapping of type β and other α,almost starlikeness of order α,spirallikeness of type β and starlikeness.
In this paper, we prove that the generalized Roper-Suffridge extension operator can be embedded in Loewner chains on the unit ball in Hibert spaces, and obtain the fact that the operator keeps the properties of almost spirallike mapping of type β and other α, almost staxlikeness of order α, spirallikeness of type β and starlikeness.
基金
Supported by the National Natural Science Foundation of China(10626015
10571044)
关键词
操作
广义
关联
希尔伯特空间
链
单位球
运营商
经营者
generalized Roper-Suffridge extension operator
Lowewner chains
almost spirallike mapping of type β and order α