INTERTWINING RELATIONS FOR VOLTERRA OPERATORS ON THE BERGMAN SPACE

被引：12
|
作者：
Tong, Ce-Zhong [1 ]
Zhou, Ze-Hua [2 ]
机构：
[1] Hebei Univ Technol, Dept Math, Tianjin 300401, Peoples R China
[2] Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China
来源：
ILLINOIS JOURNAL OF MATHEMATICS | 2013年 / 57卷 / 01期
基金：
中国国家自然科学基金;
关键词：
RIEMANN-STIELTJES OPERATORS; EXTENDED EIGENVALUES;
D O I：
10.1215/ijm/1403534492
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
On the Bergman space in the unit disk, we study the intertwining relation for Volterra type operators, whose intertwining operator is a composition operator. We also investigate the "compact" intertwining relations for Volterra type operators. As obvious consequences, the essential commutativity of Volterra type and composition operators are characterized. At the end of the paper, we find a new connection between the Bergman space and little Bloch space through this essential commutativity.
引用
收藏
页码：195 / 211
页数：17
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