Nonreflexivity of Banach spaces of bounded harmonic functions on Riemann surfaces

DOI10.3792/pjaa.87.1zbMath1218.30117OpenAlexW1964331094MaRDI QIDQ542524

Mitsuru Nakai

Publication date: 10 June 2011

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.87.1

zbMATH Keywords

harmonic functionreflexive Banach spaceGreen functionDirichlet integral

Mathematics Subject Classification ID

Ideal boundary theory for Riemann surfaces (30F25) Harmonic functions on Riemann surfaces (30F15) Classification theory of Riemann surfaces (30F20) Reflexivity and semi-reflexivity (46A25)

Related Items (2)

Square means versus Dirichlet integrals for harmonic functions on Riemann surfaces ⋮ Nonseparability of Banach spaces of bounded harmonic functions on Riemann surfaces

Cites Work

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• 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
• Surfaces carrying no singular functions
• Boundary properties of functions with finite Dirichlet integrals
• Solution of the Problem of Plateau

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