Nonseparability of Banach spaces of bounded harmonic functions on Riemann surfaces

被引：1

作者：

Nakai, Mitsuru ^{[1
]}

机构：

[1] Nagoya Inst Technol, Nagoya, Aichi, Japan

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2011年 / 87卷 / 08期

关键词：

Banach space; Dirichlet integral; Green function; harmonic function; Hilbert space; separable;

D O I：

10.3792/pjaa.87.130

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The separability of certain seminormed spaces of harmonic functions on Riemann surfaces will be considered. An application of the result obtained in the above to some inverse inclusion problem in the classification theory of Riemann surfaces will be appended.

引用

页码：130 / 135

页数：6

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