INVARIANT SUBSPACES OF WEIGHTED BERGMAN SPACES IN INFINITELY MANY VARIABLES

被引：0

作者：

Dan, Hui ^{[1
]}

Guo, Kunyu ^{[2
,3
]}

Ni, Jiaqi ^{[2
,3
]}

机构：

[1] Sichuan Univ, Coll Math, Chengdu 610065, Peoples R China

[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[3] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

来源：

JOURNAL OF OPERATOR THEORY | 2023年 / 89卷 / 01期

关键词：

Invariant subspace; unitary equivalence; Hilbert module; Hardy space; weighted Bergman space; infinitely many variables; UNITARY EQUIVALENCE; HARDY SUBMODULES; RIGIDITY; OPERATOR;

D O I：

10.7900/jot.2021may18.2330

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with polynomially generated multiplier invariant subspaces of the weighted Bergman space A2 beta in infinitely many variables. We completely classify these invariant subspaces under the uni-tary equivalence. Our results not only cover cases of both the Hardy space H2(D infinity 2 ) and the Bergman space A2(D infinity 2 ) in infinitely many variables, but also apply in finite variable setting.

引用

页码：183 / 204

页数：22

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