DISTORTION THEOREMS FOR SUBCLASSES OF STARLIKE MAPPINGS ALONG A UNIT DIRECTION IN C^n

In this paper, we obtain a distortion theorem of Jacobian matrix for biholomorphic subclasses of starlike mappings along a unit direction on the unit polydisc. These results extend the classical distortion theorem of starlike mappings to higher dimensions. We then give an upper bound estimate for bi...

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Bibliographic Details
Published in数学物理学报：B辑英文版 Vol. 32; no. 4; pp. 1675 - 1680
Main Author 卢金 刘太顺 王建飞
Format Journal Article
LanguageEnglish
Published 01.07.2012
Subjects
上界估计
偏差定理
单位
双全纯星形映照
复Banach空间
子类
星形映射
雅可比矩阵
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Summary:In this paper, we obtain a distortion theorem of Jacobian matrix for biholomorphic subclasses of starlike mappings along a unit direction on the unit polydisc. These results extend the classical distortion theorem of starlike mappings to higher dimensions. We then give an upper bound estimate for biholomorphic subclasses of starlike mappings along a unit direction in a complex Banach space.
Bibliography:In this paper, we obtain a distortion theorem of Jacobian matrix for biholomorphic subclasses of starlike mappings along a unit direction on the unit polydisc. These results extend the classical distortion theorem of starlike mappings to higher dimensions. We then give an upper bound estimate for biholomorphic subclasses of starlike mappings along a unit direction in a complex Banach space.
42-1227/O
subclasses of starlike mappings; distortion theorem; Banach space; growththeorem
ISSN:0252-9602
1572-9087