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

中图分类号：

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.

引用

页码：37 / 48

页数：11

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