Weighted harmonic Bergman functions on half-spaces

被引：0

作者：

Koo, H ^{[1
]}

Nam, K

Yi, H

机构：

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

[2] Hanshin Univ, Dept Math, Gyeonggi 447791, South Korea

[3] Kwangwoon Univ, Dept Math, Seoul 139701, South Korea

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2005年 / 42卷 / 05期

关键词：

weighted Bergman kernel; harmonic Bergman functions; fractional derivative; upper half-space;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

On the setting of the upper half-space H of the Euclidean n-space, we show the boundedness of weighted Bergman projection for 1 < p < infinity and nonorthogonal projections for 1 <= p < infinity. Using these results, we show that Bergman norm is equivalent to the normal derivative norms on weighted harmonic Bergman spaces. Finally, we find the dual of b(alpha)(1).

引用

页码：975 / 1002

页数：28

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