SUBCLASSES OF BIHOLOMORPHIC MAPPINGS UNDER THE EXTENSION OPERATORS

被引：0

作者：

Wang, Chaojun ^{[1
]}

Cui, Yanyan ^{[1
,2
]}

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 SCIENTIA | 2019年 / 39卷 / 01期

关键词：

spirallike mappings; Roper-Suffridge operator; Bergman-Hartogs domains; ROPER-SUFFRIDGE OPERATOR; CONVEX MAPPINGS; UNIT BALL; BANACH;

D O I：

10.1007/s10473-019-0122-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we mainly study the invariance of some biholomorphic mappings with special geometric characteristics under the extension operators. First we generalize the Roper-Suffridge extension operators on Bergman-Hartogs domains. Then, by the geometric characteristics of subclasses of biholomorphic mappings, we conclude that the modified Roper-Suffridge operators preserve the properties of S-Omega*(beta, A, B), parabolic and spirallike mappings of type beta and order rho, strong and almost spirallike mappings of type beta and order alpha as well as almost starlike mappings of complex order lambda on Omega(Bn )(p1, ... ,ps, q)under different conditions, respectively. The conclusions provide new approaches to construct these biholomorphic mappings in several complex variables.

引用

页码：297 / 311

页数：15

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