A General Vector-Valued Beurling Theorem

被引：2
|
作者：
Chen, Yanni [1 ]
Hadwin, Don [2 ]
Zhang, Ye [1 ]
机构：
[1] Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Peoples R China
[2] Univ New Hampshire, Dept Math, Durham, NH 03824 USA
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2016年 / 86卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Hardy space; Rotationally symmetric norm; Beurling's theorem; Invariant subspace; Measurable cross-section;
D O I：
10.1007/s00020-016-2330-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Suppose is a rotationally symmetric norm on and is a "nice" norm on where is a -finite measure on . We prove a version of Beurling's invariant subspace theorem for the space Our proof uses the version of Beurling's theorem on in Chen (Adv Appl Math, 2016) and measurable cross-section techniques. Our result significantly extends a result of Rezaei, Talebzadeh, and Shin (Int J Math Anal 6:701-707, 2012).
引用
收藏
页码：321 / 332
页数：12
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