DISTORTION THEOREMS FOR SUBCLASSES OF STARLIKE MAPPINGS ALONG A UNIT DIRECTION IN Cn

doi:10.1016/S0252-9602(12)60133-7

数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (4): 1675-1680.doi: 10.1016/S0252-9602(12)60133-7

• 论文 • 上一篇

DISTORTION THEOREMS FOR SUBCLASSES OF STARLIKE MAPPINGS ALONG A UNIT DIRECTION IN Cⁿ

卢金|刘太顺|王建飞

1.Department of Mathematics, University of Science and Technology of China, Hefei 230026, China|2.Department of Mathematics, Huzhou Teachers College, Huzhou Zhejiang 313000, China|3.Department of Mathematics and Physics, Information Engineering, Zhejiang Normal University, Jinhua Zhejiang 321004, China

收稿日期:2011-01-07 修回日期:2011-07-27 出版日期:2012-07-20 发布日期:2012-07-20
基金资助:
This work was supported by NSF of Zhejiang Province (D7080080, Y6090036, Y6090694, Y6100219) and the National Natural Science Foundation of China (10971063, 11001246, 11031008, 11101139).

DISTORTION THEOREMS FOR SUBCLASSES OF STARLIKE MAPPINGS ALONG A UNIT DIRECTION IN Cⁿ

LU Jin, LIU Tai-Shun, WANG Jian-Fei

1.Department of Mathematics, University of Science and Technology of China, Hefei 230026, China|2.Department of Mathematics, Huzhou Teachers College, Huzhou Zhejiang 313000, China|3.Department of Mathematics and Physics, Information Engineering, Zhejiang Normal University, Jinhua Zhejiang 321004, China

Received:2011-01-07 Revised:2011-07-27 Online:2012-07-20 Published:2012-07-20
Supported by:
This work was supported by NSF of Zhejiang Province (D7080080, Y6090036, Y6090694, Y6100219) and the National Natural Science Foundation of China (10971063, 11001246, 11031008, 11101139).

摘要/Abstract

摘要：

In this paper, we obtain a distortion theorem of Jacobian matrix for biholo-morphic 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.

关键词: subclasses of starlike mappings, distortion theorem, Banach space, growth theorem

Abstract:

Key words: subclasses of starlike mappings, distortion theorem, Banach space, growth theorem

中图分类号:

32H02

卢金, 刘太顺, 王建飞. DISTORTION THEOREMS FOR SUBCLASSES OF STARLIKE MAPPINGS ALONG A UNIT DIRECTION IN Cⁿ[J]. 数学物理学报(英文版), 2012, 32(4): 1675-1680.

LU Jin, LIU Tai-Shun, WANG Jian-Fei. DISTORTION THEOREMS FOR SUBCLASSES OF STARLIKE MAPPINGS ALONG A UNIT DIRECTION IN Cⁿ[J]. Acta mathematica scientia,Series B, 2012, 32(4): 1675-1680.

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DISTORTION THEOREMS FOR SUBCLASSES OF STARLIKE MAPPINGS ALONG A UNIT DIRECTION IN Cⁿ

DISTORTION THEOREMS FOR SUBCLASSES OF STARLIKE MAPPINGS ALONG A UNIT DIRECTION IN Cⁿ

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