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

页码：309 / 325

页数：17

共 5 条

[1] HARDY SPACES AND UNBOUNDED QUASIDISKS
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ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2011, 36 (01) : 291 - 300
[2] Extremal Distance and Conformal Mappings in Hardy and Bergman Spaces
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The Journal of Geometric Analysis, 2023, 33
[3] Extremal Distance and Conformal Mappings in Hardy and Bergman Spaces
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JOURNAL OF GEOMETRIC ANALYSIS, 2023, 33 (05)
[4] On the Hardy number of a domain in terms of harmonic measure and hyperbolic distance
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ARKIV FOR MATEMATIK, 2020, 58 (02): : 307 - 331
[5] On p-harmonic measures in half-spaces
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Juan J. Manfredi
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Annali di Matematica Pura ed Applicata (1923 -), 2019, 198 : 1381 - 1405

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