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ε星形映照族(Ⅰ)
FAMILY OF ε STARLIKE MAPPINGS (Ⅰ)
【摘要】 本文定义了ε星形映照族,用统一的观点来处理复Banach空间、Cn及C中的各种区域上的凸映照族与星形映照族,研究它们之间是如何过渡的,并讨论了其判别准则及Roper-Suffridge算子.
【Abstract】 In this paper, The authors define the family of ε starlike mappings, in purpose to treat the family of convex mappings and the family of starlike mappings as one family, and to understand the transition from one family to another. The criterion and Roper-Suffridge extension operator of the family of ε starlike mappings was considered.
【关键词】 ε星形映照;
E星形映照;
Roper-Suffridge算子;
【Key words】 ε starlike mapping; E starlike mapping; Roper-Suffridge operator;
【Key words】 ε starlike mapping; E starlike mapping; Roper-Suffridge operator;
【基金】 973计划、国家自然科学基金(No.19971082,No.19871081);安徽省自然科学基金(No.99047216)资助的项目.
- 【文献出处】 数学年刊A辑(中文版) ,Chinese Annals of Mathematics,series A , 编辑部邮箱 ,2002年03期
- 【分类号】O174.56
- 【被引频次】19
- 【下载频次】62