Arguments of Zero Sets in the Dirichlet Space

被引：0
作者：
Mashreghi, Javad [1 ]
Ransford, Thomas [1 ]
Shabankhah, Mahmood [1 ]
机构：
[1] Univ Laval, Dept Math & Stat, Quebec City, PQ G1V 0A6, Canada
来源：
HILBERT SPACES OF ANALYTIC FUNCTIONS | 2010年 / 51卷
关键词：
Zero sets; Dirichlet space; Carleson sets; Blaschke sets;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We characterize the unimodular sequences (e(i theta n))(n >= 1) such that (r(n)e(i theta n))(n >= 1) is a zero set for the Dirichlet space for every positive Blaschke sequence (r(n))(n >= 1). The principal tool is a characterization of Carleson sets in terms of their convergent subsequences.
引用
收藏
页码：143 / 148
页数：6
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