Characterizations of the harmonic Bergman space on the ball

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:353

Article

Choi, Eun Sun²  Na, Kyunguk¹ 

[1] Hanshin Univ, Gyeonggi 447791, South Korea

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

关键词: Harmonic Bergman space;    Hyperbolic metric;    Lipschitz condition;   

DOI  :  10.1016/j.jmaa.2008.11.085

来源: Elsevier

【 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.

【 授权许可】

Free