Weighted Composition Operators on the Space of Bounded Harmonic Functions

被引：6
|
作者：
Izuchi, Kei Ji [2 ]
Izuchi, Yuko
Ohno, Shuichi [1 ]
机构：
[1] Nippon Inst Technol, Minami Ku, Miyashiro, Saitama 3458501, Japan
[2] Niigata Univ, Dept Math, Niigata 9502181, Japan
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2011年 / 71卷 / 01期
基金：
日本学术振兴会;
关键词：
Weighted composition operator; the space of bounded harmonic functions; essential norm; H-INFINITY; TOPOLOGICAL-STRUCTURE;
D O I：
10.1007/s00020-011-1886-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We determine the norm and the essential norm of the difference of weighted composition operators on the space of bounded harmonic functions on the open unit disk. The argument is done on the boundary.
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页码：91 / 111
页数：21
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