The dirichlet problem in weighted spaces and some uniqueness theorems for harmonic functions

被引：0
作者：
Airapetyan G.M. [1 ]
机构：
[1] Avan-Arindzh, Erevan
来源：
Journal of Mathematical Sciences | 2011年 / 173卷 / 2期
关键词：
Weight Function; Singular Point; Harmonic Function; Unit Disk; Dirichlet Problem;
D O I：
10.1007/s10958-011-0235-8
中图分类号：
学科分类号：
摘要：
This paper considers the Dirichlet problem in weighted spaces L1(ρ) in the half-plane and in the disk. The obtained results are applied to studying the uniqueness questions of harmonic functions in the half-plane and in the half-space. Also, the uniqueness theorem of harmonic functions in the unit disk is proved. © 2011 Springer Science+Business Media, Inc.
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页码：123 / 149
页数：26
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