Surfaces carrying sufficiently many Dirichlet finite harmonic functions that are automatically bounded

DOI10.2969/jmsj/06410201zbMath1264.30027OpenAlexW2068142946MaRDI QIDQ763983

Mitsuru Nakai

Publication date: 3 April 2012

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/06410201

zbMATH Keywords

bounded harmonic functionsRiemann surfaceharmonic functions with finite Dirichlet integralSario-Tôki disc

Mathematics Subject Classification ID

Ideal boundary theory for Riemann surfaces (30F25) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Harmonic functions on Riemann surfaces (30F15) Classification theory of Riemann surfaces (30F20)

Cites Work

• Extremal functions for capacities
• Dirichlet integrals on harmonic spaces
• Classification theory of Riemannian manifolds. Harmonic, quasiharmonic and biharmonic functions
• Welding of polygons and the type of Riemann surfaces
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