Ranks of invariant subspaces of the Hardy space over the bidisk

被引：15

作者：

Izuchi, Kei Ji ^{[1
]}

Izuchi, Kou Hei ^{[2
]}

Izuchi, Yuko

机构：

[1] Niigata Univ, Dept Math, Niigata 9502181, Japan

[2] Korea Univ, Dept Math, Seoul 136701, South Korea

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2011年 / 659卷

关键词：

SUBMODULES; SEQUENCES;

D O I：

10.1515/CRELLE.2011.069

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H-2(D-2) be the Hardy space over the bidisk. Let {phi(n)(z)}(n >= 0) be a sequence of one variable inner functions such that phi(n)(z)/phi(n+1) (z) is a nonconstant inner function for every n >= 0. Associated with them, we have an invariant subspace M of H-2(D-2). When phi(0)(z) is a Blaschke product, it is determined rank(M circle minus wM) for the fringe operator F-z on M circle minus wM and rank M as an invariant subspace of H-2(D-2).

引用

页码：101 / 139

页数：39

共 19 条

[1] Beurling's theorem for the Bergman space [J].