Wandering Subspaces of the Bergman Space and the Dirichlet Space Over

被引：0

作者：

Chattopadhyay, Arup ^{[1
]}

Das, B. Krishna ^{[1
]}

Sarkar, Jaydeb ^{[1
]}

Sarkar, S. ^{[1
]}

机构：

[1] Indian Stat Inst, Stat & Math Unit, Bangalore 560059, Karnataka, India

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2014年 / 79卷 / 04期

关键词：

Invariant subspace; Beurling's theorem; Bergman space; Dirichlet space; Hardy space; Doubly commuting invariant subspace; INVARIANT SUBSPACES; POLYDISCS;

D O I：

10.1007/s00020-014-2128-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Doubly commuting invariant subspaces of the Bergman space and the Dirichlet space over the unit polydisc (with ) are investigated. We show that for any non-empty subset of and doubly commuting invariant subspace of the Bergman space or the Dirichlet space over , restriction of the multiplication operator tuple on , always possesses generating wandering subspace of the form boolean AND(k)(i=1) (S circle minus Z(alpha i) S).

引用

页码：567 / 577

页数：11

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