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.
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页码：269 / 287
页数：19
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