On the Biholomorphic Convex Mappings of Order Alpha on Dnp

被引：0
|
作者：
Liu, Ming-Sheng [1 ]
Li, Ni [1 ]
Yang, Yan [2 ]
机构：
[1] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
[2] Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2017年 / 11卷 / 02期
关键词：
Locally biholomorphic mapping; Biholomorphic convex mapping; Biholomorphic convex mapping of order alpha; Reinhardt domain D-p(n);
D O I：
10.1007/s11785-015-0528-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first give the definition of biholomorphic convex mappings of order alpha on the Reinhardt domain D-p(n) in C-n. Next, we provide several sufficient conditions for it. Then we introduce a subclass SK( D-p(n), alpha) of biholomorphic convex mappings of order a on D-p(n), and give a necessary and sufficient condition for the subclass SK( D-p(n), alpha). From these, we construct some concrete examples of biholomorphic convex mappings of order alpha on D-p(n). The results presented extend the related results of earlier authors.
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页码：243 / 260
页数：18
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