Biholomorphic Mappings and the Extension Operators on New Hartogs Domains

被引：0
作者：
Yan Yan Cui
Chao Jun Wang
Hao Liu
机构：
[1] Zhoukou Normal University,College of Mathematics and Statistics
[2] Hebei Normal University,College of Mathematics and Information Science
[3] He’nan University,Institute of Contemporary Mathematics
来源：
Acta Mathematica Sinica, English Series | 2019年 / 35卷
关键词：
Biholomorphic mapping; Roper-Suffridge operator; Hartogs domain; 32A30; 30C45;
D O I：
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中图分类号：
学科分类号：
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 β and order ρ, SΩ*(β,A,B)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S_\Omega^*(\beta, A, B)$$\end{document}, almost starlike mapping of complex order λ on ΩN under different conditions, and thus we get the corresponding results on the unit ball Bn in ℂn. The conclusions lead to some known results.
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页码：671 / 689
页数：18
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