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

页码：161 / 163

页数：3

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