Isometries of Weighted Spaces of Harmonic Functions

被引：0
|
作者：
Christopher Boyd
Pilar Rueda
机构：
[1] University College Dublin,School of Mathematical Sciences
[2] Universidad de Valencia,Departamento de Análisis Matemático, Facultad de Matemáticas
来源：
Potential Analysis | 2008年 / 29卷
关键词：
Harmonic functions; Isometry; Weighted spaces; Primary 46B04; 46E15;
D O I：
暂无
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学科分类号：
摘要：
We investigate the isometries between weighted spaces of harmonic functions. We show that, under some mild conditions, every isometry is a composition operator. Our research shows that the structure of isometries of weighted spaces of harmonic functions is, in general, simpler than that observed for weighted spaces of holomorphic functions.
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页码：37 / 48
页数：11
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