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A Simple Proof of the Lower Bounds of Distortion Theorems on the Roper-Suffridge Operator

作者:WANG; Jian-fei; LIU; Tai-shun下界证明定理失真算子单位球星象函数z1

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.

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