The Estimates of All Homogeneous Expansions for a Subclass of Biholomorphic Mappings Which Have Parametric Representation in Several Complex Variables

被引：2

作者：

Xiao Song LIU ^{[1
]}

Tai Shun LIU ^{[2
]}

机构：

[1] School of Mathematics and Statistics,Lingnan Normal University

[2] Department of Mathematics,Huzhou Teachers

来源：

Acta Mathematica Sinica | 2017年 / 33卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O174.5 [复分析、复变函数];

学科分类号：

摘要：

In this paper, we obtain the estimates of all homogeneous expansions for a subclass of biholomorphic mappings which have parametric representation on the unit ball of complex Banach spaces.Meanwhile, we also establish the estimates of all homogeneous expansions for the above generalized mappings on the unit polydisk in C~n. Especially, the above estimates are only sharp for biholomorphic starlike mappings and starlike mappings of order α under restricted conditions. Our derived results generalize many known results.

引用

页码：287 / 300

页数：14

共 48 条

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