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- MASAOKA HIROAKI
- Department of Mathematics, Faculty of Science, Kyoto Sangyou University
抄録
We show rather unexpectedly and surprisingly the existence of a hyperbolic Riemann surface $W$ enjoying the following two properties: firstly, the converse of the celebrated Parreau inclusion relation that the harmonic Hardy space $HM_2(W)$ with exponent 2 consisting of square mean bounded harmonic functions on $W$ includes the space $HD(W)$ of Dirichlet finite harmonic functions on $W$, and a fortiori $HM_2(W)=HD(W)$, is valid; secondly, the linear dimension of $HM_2(W)$, hence also that of $HD(W)$, is infinite.
収録刊行物
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- Tohoku Mathematical Journal, Second Series
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Tohoku Mathematical Journal, Second Series 64 (2), 233-259, 2012
東北大学大学院理学研究科数学専攻
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詳細情報 詳細情報について
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- CRID
- 1390282680094242048
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- NII論文ID
- 130005128511
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- ISSN
- 2186585X
- 00408735
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- 本文言語コード
- en
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- データソース種別
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- JaLC
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- 抄録ライセンスフラグ
- 使用不可