Thin sequences and their role in Hp theory, model spaces, and uniform algebras

被引：2

作者：

Gorkin, Pamela ^{[1
]}

Pott, Sandra ^{[2
]}

Wick, Brett D. ^{[3
]}

机构：

[1] Bucknell Univ, Dept Math, Lewisburg, PA 17837 USA

[2] Lund Univ, Ctr Math Sci, Fac Sci, S-22100 Lund, Sweden

[3] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

来源：

REVISTA MATEMATICA IBEROAMERICANA | 2015年 / 31卷 / 03期

基金：

美国国家科学基金会;

关键词：

Hardy space; thin sequences; interpolation; asymptotic orthonormal sequence; INTERPOLATING-SEQUENCES;

D O I：

10.4171/RMI/856

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we revisit some facts about thin interpolating sequences in the unit disc from three perspectives: uniform algebras, model spaces, and H-p spaces. We extend the notion of asymptotic interpolation to H-p spaces, for 1 <= p <= infinity, providing several new ways to think about these sequences.

引用

页码：841 / 864

页数：24

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