Isometric composition operators on weighted Dirichlet space

被引：1
|
作者：
Han, Shi-An [1 ]
Zhou, Ze-Hua [1 ]
机构：
[1] Tianjin Univ, Dept Math, 135 Yaguan Rd,Haihe Educ Pk, Tianjin 300350, Peoples R China
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2016年 / 66卷 / 01期
基金：
中国国家自然科学基金;
关键词：
composition operator; weighted Dirichlet space; isometry;
D O I：
10.1007/s10587-016-0235-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate isometric composition operators on the weighted Dirichlet space with standard weights . The main technique used comes from Martin and VukotiA double dagger who completely characterized the isometric composition operators on the classical Dirichlet space D. We solve some of these but not in general. We also investigate the situation when is equipped with another equivalent norm.
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页码：27 / 34
页数：8
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