Nonseparability of Banach spaces of bounded harmonic functions on Riemann surfaces

作者：Nakai Mitsuru^*

来源：Proceedings of the Japan Academy Series A-Mathematical Sciences, 2011, 87(8): 130-135.

DOI：10.3792/pjaa.87.130

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

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.

• 出版日期2011-10