The Carathéodory metric in plane domains

DOI10.2996/kmj/1138833578zbMath0419.30010OpenAlexW2014012599MaRDI QIDQ3852436

Jacob Burbea

Publication date: 1977

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138833578

zbMATH Keywords

kernel functionanalytic capacityAhlfors functioncurvature of Caratheodory metric

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)

Cites Work

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• The curvatures of the analytic capacity
• Some remarks on kernel functions and Abelian differentials
• Capacities and kernels on Riemann surfaces
• On a metric induced by analytic capacity. II.
• Über ein numerisches Verfahren zur konformen Abbildung zweifach zusammenhängender Gebiete
• Theta functions, kernel functions, and Abelian integrals
• On a metric induced by analytic capacity. I.

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