Multiplication operators defined by twisted proper holomorphic maps on Bergman spaces

被引：0

作者：

Huang, Hansong ^{[1
]}

Ma, Pan ^{[2
]}

机构：

[1] East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

[2] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

来源：

NEW YORK JOURNAL OF MATHEMATICS | 2020年 / 26卷

关键词：

Bergman spaces; multiplication operators; von Neumann algebras; proper holomorphic maps; local solutions; REDUCING SUBSPACES; TOEPLITZ-OPERATORS; HARDY SPACE; COMMUTANT;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper studies the structure and commutative properties of von Neumann algebras induced by multiplication operators on the Bergman space of a bounded domain in the complex space C-d. We show that there is a close interplay between operator theory, geometry, and function theory.

引用

页码：303 / 321

页数：19

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