HARMONIC HARDY-ORLICZ SPACES

被引：3
|
作者：
Kilpelainen, Tero [1 ]
Koskela, Pekka [1 ]
Masaoka, Hiroaki [1 ,2 ]
机构：
[1] Univ Jyvaskyla, Dept Math & Stat, FI-40014 Jyvaskyla, Finland
[2] Kyoto Sangyo Univ, Fac Sci, Dept Math, Kita Ku, Kyoto 6038555, Japan
来源：
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2013年 / 38卷 / 01期
关键词：
P-Brelot harmonic space; harmonic Hardy-Orlicz space; minimal Martin boundary; harmonic measure;
D O I：
10.5186/aasfm.2013.3816
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given an open hyperbolic Riemannian manifold, we show that various vector spaces of harmonic functions coincide if and only if they are finite dimensional.
引用
收藏
页码：309 / 325
页数：17
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