Characterizations of the harmonic Bergman space on the ball

被引：6

作者：

Choi, Eun Sun ^{[2
]}

Na, Kyunguk ^{[1
]}

机构：

[1] Hanshin Univ, Gyeonggi 447791, South Korea

[2] Korea Univ, Dept Math, Seoul 136701, South Korea

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 353卷 / 01期

关键词：

Harmonic Bergman space; Hyperbolic metric; Lipschitz condition;

D O I：

10.1016/j.jmaa.2008.11.085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the harmonic Bergman space with the normal weight, we prove norm equivalences in terms of radial, gradient and invariant gradient norms. Using this, we give new characterizations in terms of Lipschitz type conditions with Euclidean, pseudo-hyperbolic and hyperbolic metrics on the ball. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：375 / 385

页数：11

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