Biholomorphic Mappings and the Extension Operators on New Hartogs Domains

被引：1

作者：

Cui, Yan Yan ^{[1
,2
]}

Wang, Chao Jun ^{[1
]}

Liu, Hao ^{[3
]}

机构：

[1] Zhoukou Normal Univ, Coll Math & Stat, Zhoukou 466001, Peoples R China

[2] Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Hebei, Peoples R China

[3] Henan Univ, Inst Contemporary Math, Kaifeng 475001, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2019年 / 35卷 / 05期

关键词：

Biholomorphic mapping; Roper-Suffridge operator; Hartogs domain;

D O I：

10.1007/s10114-019-7110-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we generalize the Roper-Suffridge operator on the extended Hartogs domains. By using the geometric properties and the growth theorems of subclasses of biholomorphic mappings, we obtain the generalized operators preserve the properties of parabolic and spirallike mappings of type and order , S*(,A,B), almost starlike mapping of complex order on (N) under different conditions, and thus we get the corresponding results on the unit ball B-n in C-n. The conclusions lead to some known results.

引用

页码：671 / 689

页数：19

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