Some properties of conjugate harmonic functions in a half-space

被引：0

作者：

Ryabogin, Anatoly ^{[2
]}

Ryabogin, Dmitry ^{[1
]}

机构：

[1] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA

[2] Stavropol State Univ, Dept Math & Phys, Stavropol, Russia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 369卷 / 02期

关键词：

Hardy spaces; Subharmonic functions;

D O I：

10.1016/j.jmaa.2010.03.035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a multi-dimensional analog of the theorem of Hardy and Littlewood about the logarithmic bound of the L-p-average of the conjugate harmonic functions, 0 < p <= 1. We also give sufficient conditions for a harmonic vector to belong to H-p(R-+(n+1)), 0 < p <= 1. Published by Elsevier Inc.

引用

页码：686 / 693

页数：8

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