Nonseparability of Banach spaces of bounded harmonic functions on Riemann surfaces

DOI10.3792/pjaa.87.130zbMath1254.30063OpenAlexW4231292258MaRDI QIDQ665914

Mitsuru Nakai

Publication date: 7 March 2012

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.87.130

zbMATH Keywords

harmonic functionRiemann surfaceGreen functionDirichlet integralnonseparable Banach space

Mathematics Subject Classification ID

Harmonic functions on Riemann surfaces (30F15) Nonseparable Banach spaces (46B26)

Cites Work

• Nonreflexivity of Banach spaces of bounded harmonic functions on Riemann surfaces
• The classes of bounded harmonic functions and harmonic functions with finite Dirichlet integrals on hyperbolic Riemann surfaces
• Extremal functions for capacities
• Dirichlet integrals on harmonic spaces
• Tôki covering surfaces and their applications
• Boundary properties of functions with finite Dirichlet integrals
• Solution of the Problem of Plateau
• Boundedness Properties in Function-Lattices
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