Convex Mappings Associated with the Roper-Suffridge Extension Operator

被引：0
|
作者：
Danli Zhang
Huiming Xu
Jianfei Wang
机构：
[1] Zhejiang Normal University,Department of Mathematics
[2] Huaqiao University,School of Mathematical Sciences
来源：
Acta Mathematica Scientia | 2019年 / 39卷
关键词：
Roper-Suffridge operator; convex mapping; hyperbolic metric; 32H02; 30C45;
D O I：
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中图分类号：
学科分类号：
摘要：
Let λG(z)∣dz∣ be the hyperbolic metric on a simply connected proper domain G ⊂ ℂ containing the origin, and let ∥ · ∥j be the Banach norms of ℂnj\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{C}^{{n_j}}}$$\end{document} for j = 1, 2, ⋯, k. This note is to prove that if f is a normalized biholomorphic convex function on G, then
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页码：1619 / 1627
页数：8
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