Capacities and Spans on Riemann Surfaces

DOI10.2307/2042801zbMath0419.30009OpenAlexW4233741485MaRDI QIDQ3852435

Jacob Burbea

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/2042801

zbMATH Keywords

curvaturespanopen Riemann surfaceanalytic capacityBerman kernel

Mathematics Subject Classification ID

Capacity and harmonic measure in the complex plane (30C85) Extremal problems for conformal and quasiconformal mappings, other methods (30C75) Kernel functions in one complex variable and applications (30C40)

Related Items

On Demailly's \(L^2\) extension theorem from non-reduced subvarieties ⋮ Analytic functions with finite Dirichlet integrals on Riemann surfaces ⋮ Boundary behaviour of the span metric and its higher-order curvatures ⋮ The higher order curvatures of weighted span metrics on Riemann surfaces ⋮ A new proof of the Schiffer's identities on planar Riemann surfaces

Cites Work

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• The span of multiply connected domains
• Über ein numerisches Verfahren zur konformen Abbildung zweifach zusammenhängender Gebiete
• Theta functions, kernel functions, and Abelian integrals