On weak convergence in H-1

被引：1
|
作者：
Cima, JAC [1 ]
Matheson, A [1 ]
机构：
[1] LAMAR UNIV,DEPT MATH,BEAUMONT,TX 77710
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1996年 / 124卷 / 01期
关键词：
HL(1); weak convergence;
D O I：
10.1090/S0002-9939-96-02995-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A bounded sequence of functions in H-1 which converges in mea sure on a set of positive measure of the unit circle converges weak*. An example is given to show that weak* convergence cannot be replaced by weak convergence.
引用
收藏
页码：161 / 163
页数：3
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