α次的殆星映射的充分判别条件

数学物理学报

α次的殆星映射的充分判别条件

冯淑霞; 刘太顺

河南大学数学与信息科学学院, 开封 475001

收稿日期:2005-08-04 修回日期:2006-10-08 出版日期:2007-06-25 发布日期:2007-06-25
通讯作者: 冯淑霞
基金资助:
基金项目:国家自然科学基金(10571164, 10626015, 10571044)、高等学校博士学科点专项科研基金(20050358052)和河南大学自然科学基础研究基金(04ZDZR004)资助

Sufficient Conditions for Almost Starlike Mappings of Order α

Feng Shuxia; Liu Taishun

College of Mathematics and Information Science, Henan University, Kaifeng 475001

Received:2005-08-04 Revised:2006-10-08 Online:2007-06-25 Published:2007-06-25
Contact: Feng Shuxia

摘要/Abstract

摘要： 该文通过在cⁿ中的有界星形圆型域和复Banach空间中的单位球上建立一些偏微分不等式, 分别给出α 次的殆星映射在这两类域上的充分判别条件.

关键词: 有界星形圆型域, 复Banach空间, α 次的殆星映射

Abstract: In this paper, the authors establish some partial differential inequalities on bounded starlike circular domains and the unit ball of Banach norm in cⁿ. Then using these inequalities, the authors get two sufficient conditions for almost starlike mappings of order α.

Key words: Bounded starlike circular domain, Complex Banach spaces, Almost starlike mappings of order α

中图分类号:

32A30

冯淑霞; 刘太顺. α次的殆星映射的充分判别条件[J]. 数学物理学报, 2007, 27(3): 506-514.

Feng Shuxia; Liu Taishun. Sufficient Conditions for Almost Starlike Mappings of Order α[J]. Acta mathematica scientia,Series A, 2007, 27(3): 506-514.

[1]	邹娟. 复Banach空间中的Roper-Suffridge算子[J]. 数学物理学报, 2010, 30(6): 1582-1591.
[2]	刘浩. 双全纯映照的一些偏微分不等式[J]. 数学物理学报, 2002, 22(2): 231-237.