Harmonic Conjugates in Weighted Bergman Spaces of Quaternion-Valued Functions

被引：0
作者：
Karen Avetisyan
Klaus Gürlebeck
Wolfgang Sprössig
机构：
[1] Yerevan State University,Faculty of Physics
[2] Bauhaus-Universität Weimar,Institut für Mathematik/Physik
[3] Technische Universität Bergakademie Freiberg,Institut für Angewandte Analysis
来源：
Computational Methods and Function Theory | 2009年 / 9卷 / 2期
关键词：
Quaternion; monogenic function; harmonic Bergman spaces; 30G35; 31B05;
D O I：
10.1007/BF03321747
中图分类号：
学科分类号：
摘要：
In this paper we study the harmonic conjugation problem in weighted Bergman spaces of quaternion-valued functions on the unit ball. For a scalar-valued harmonic function belonging to a Bergman space, harmonic conjugates in the same Bergman space are found.
引用
收藏
页码：593 / 608
页数：15
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