Reducing Subspaces of Multiplication Operators in Bergman Spaces

被引：0

作者：

Eskandari, Setareh ^{[1
]}

Abkar, Ali ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Fac Sci, Dept Pure Math, Qazvin 34149, Iran

来源：

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2022年 / 46卷 / 02期

关键词：

Multiplication operator; Commutant of operator; Reducing subspace; Bergman space; TOEPLITZ-OPERATORS;

D O I：

10.1007/s40995-022-01279-5

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We use a direct method to compute the reducing subspaces of the operator of multiplication by z(3) on the Bergman space of the unit disk. This will shed some light on the unsolved problem of characterizing the reducing subspaces of the operator of multiplication by Blaschke products.

引用

页码：667 / 675

页数：9

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