Gleason's problem for harmonic Bergman and Bloch functions on half-spaces

被引：7

作者：

Choe, BR ^{[1
]}

Koo, H

Yi, HS

机构：

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

[2] Hankuk Univ Foreign Studies, Dept Math, Yongin 449791, Kyungki Do, South Korea

[3] Kwangwoon Univ, Res Inst Basic Sci, Dept Math, Seoul 139701, South Korea

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2000年 / 36卷 / 03期

关键词：

D O I：

10.1007/BF01213925

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

On the setting of the half-space Rn-1 x R+, we investigate Gleason's problem for harmonic Bergman and Bloch functions. We prove that Gleason's problem for the harmonic L-P-Bergman space is solvable if and only if p > n. We also prove that Gleason's problem for the harmonic (little) Bloch space is solvable.

引用

页码：269 / 287

页数：19

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