The Cauchy Transform of Continuous Linear Functionals and Projections on the Weighted Spaces of Analytic Functions

被引：0

作者：

O. E. Antonenkova

F. A. Shamoyan

机构：

[1] Bryansk State University,

来源：

Siberian Mathematical Journal | 2005年 / 46卷

关键词：

linear functional; Cauchy transform; weighted space; holomorphic function;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Under some general assumptions on weight, we give a complete characterization of the Cauchy transform of continuous linear functionals on the weighted spaces of holomorphic functions in a ball. We construct an integral projection that sends the weighted spaces of measurable and n-harmonic functions in the ball onto the corresponding spaces of holomorphic functions.

引用

页码：969 / 994

页数：25

共 10 条

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[10]

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