Criteria for Some Subclasses of Biholomorphic Starlike Mappings in Banach Spaces

被引：0

作者：

Zhu, Y. C. ^{[1
]}

机构：

[1] Fuzhou Univ, Dept Math, Fuzhou 350002, Fujian, Peoples R China

来源：

SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2010年 / 34卷 / 03期

关键词：

Locally biholomorphic mapping; Biholomorphic starlike mapping; Strongly biholomorphic starlike mapping;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, some new subclasses of biholomorphic mappings named "strongly biholomorphic starlike mappings" are introduced, which are subclasses of biholomorphic starlike mappings. We give some sufficient conditions for locally biholomorphic mappings defined on the unit ball B in a Hilbert space X or a Banach space X to be strongly biholomorphic starlike mappings. Some results about sufficient conditions for an analytic function in the complex plane C to be a starlike function are extended to Hilbert spaces or Banach spaces.

引用

页码：579 / 593

页数：15

共 8 条

[1] THE EXTENSION OPERATOR IN BANACH SPACES FOR LOCALLY BIHOLOMORPHIC MAPPINGS
刘名生
朱玉灿
Acta Mathematica Scientia, 2008, (03) : 711 - 720
[2] The extension operator in Banach spaces for locally biholomorphic mappings
Liu Mingsheng
Zhu Yucan
ACTA MATHEMATICA SCIENTIA, 2008, 28 (03) : 711 - 720
[3] Criteria for biholomorphic convex mappings on the unit ball in Hilbert spaces
Zhu, Yu-Can
Liu, Ming-Sheng
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 322 (02) : 495 - 511
[4] Sufficient Criteria for Starlike Mappings in a Complex Banach Space
Liu, Ming-Sheng
Zhu, Yu-Can
COMPLEX ANALYSIS AND OPERATOR THEORY, 2013, 7 (03) : 607 - 622
[5] Biholomorphic convex mappings of order α on the unit ball in Hilbert spaces
Liu, Ming-Sheng
Zhu, Yu-Can
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 406 (01) : 75 - 85
[6] Sufficient Criteria for Biholomorphic Convex Mappings on Dp in Cn
Liu, Ming-Sheng
Li, Jing-Hui
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2014, 37 (02) : 399 - 410
[7] Some sufficient conditions for biholomorphic convex mappings on Bpn
Liu, MS
Zhu, YC
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 316 (01) : 210 - 228
[8] Sufficient Criteria for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varepsilon $$\end{document} Starlike Mappings in a Complex Banach Space
Ming-Sheng Liu
Yu-Can Zhu
Complex Analysis and Operator Theory, 2013, 7 (3) : 607 - 622

← 1 →