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

页码：143 / 148

页数：6

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