Extremal functions for capacities

DOI10.2969/jmsj/06120345zbMath1185.31002OpenAlexW1995400093MaRDI QIDQ1030011

Mitsuru Nakai

Publication date: 1 July 2009

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

Full work available at URL: http://www.jstage.jst.go.jp/article/jmath/61/2/61_345/_article

zbMATH Keywords

capacityBergman kernelharmonic measurereproducing kernelDirichlet integralNeumann kernelGreen kernelRoyden compactificationRoyden harmonic boundarynormal derivative measure

Mathematics Subject Classification ID

Ideal boundary theory for Riemann surfaces (30F25) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (5)

Square means versus Dirichlet integrals for harmonic functions on Riemann surfaces ⋮ Nonseparability of Banach spaces of bounded harmonic functions on Riemann surfaces ⋮ Nonreflexivity of Banach spaces of bounded harmonic functions on Riemann surfaces ⋮ Extremal functions for capacities ⋮ Surfaces carrying sufficiently many Dirichlet finite harmonic functions that are automatically bounded

Cites Work

• Fonctions plurisousharmoniques et fonctions analytiques de variables réelles
• Extremal functions for capacities
• Dirichlet integrals on harmonic spaces
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