方嘉琳.集值映射族的紧性[J].数学研究及应用,1991,11(3):349~353 |
集值映射族的紧性 |
Compactness of Set-Valued Mapping Family |
投稿时间:1989-10-24 |
DOI:10.3770/j.issn:1000-341X.1991.03.007 |
中文关键词: |
英文关键词: |
基金项目: |
|
摘要点击次数: 2063 |
全文下载次数: 1262 |
中文摘要: |
|
英文摘要: |
The classical theorem of Ascoli asserts that a uniformly bounded, equicontinuous family of functions has a compact closure in the space of con tinuous functions with the topologyof uniform convergence.The theorem is very important in analytic theory, for example it is ever used in the theories of differential equation, integral equation, calculus of variations, conformal mapping. Many people have extended it to some kinds of general form in the several decades. Because of the difference of mapping family and the difference of topological structure of mapping sace, the form is different. |
查看全文 查看/发表评论 下载PDF阅读器 |
|
|
|