Nonseparability of Banach spaces of bounded harmonic functions on Riemann surfaces

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Mitsuru Nakai¹ 

[1] Nagoya Institute of TechnologyyÞ

关键词: Banach space;    Dirichlet integral;    Green function;    harmonic function;    Hilbert space;    separable.;   

DOI  :  10.3792/pjaa.87.130

学科分类：数学（综合）

来源: Japan Academy

【 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.

【 授权许可】

Unknown