Estimates of the harmonic Bergman kernel on smooth domains

被引：35

作者：

Kang, H ^{[1
]}

Koo, H

机构：

[1] Seoul Natl Univ, Dept Math, Seoul 151742, South Korea

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

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2001年 / 185卷 / 01期

关键词：

harmonic Bergman kernel; harmonic Bergman projection; biharmonic equations;

D O I：

10.1006/jfan.2001.3761

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain optimal size estimates of the harmonic Bergman kernel and its derivatives on smooth domains, Based on these estimates we derive mapping properties of the harmonic Bergman projection on Lebesgue spaces and Lipschitz spaces. (C) 2001 Academic Press.

引用

页码：220 / 239

页数：20

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[2]

[Anonymous], HARMONIC ANAL

[3]

AXLER S, 1992, HARMONIC FUNCTION TH

[4]

AXLER S, 1988, PITMAN RES NOTES MAT, V171, P1