Composition operators on the space of bounded harmonic functions

被引：8

作者：

Choa, Jun Soo ^{[1
]}

Izuchi, Kei Ji ^{[2
]}

Ohno, Shuichi ^{[3
]}

机构：

[1] Sungkyunkwan Univ, Dept Math Educ, Seoul 110745, South Korea

[2] Niigata Univ, Dept Math, Niigata 9502181, Japan

[3] Nippon Inst Technol, Minami Saitama 3458501, Japan

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2008年 / 61卷 / 02期

基金：

日本学术振兴会;

关键词：

composition operators; the space of harmonic functions; essential norm; difference of composition operators;

D O I：

10.1007/s00020-008-1579-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study composition operators on the space of bounded harmonic functions on the open unit disk. The principal goal of this paper is to provide criteria for determining the essential norm of difference of two composition operators.

引用

页码：167 / 186

页数：20

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