On the uniqueness of the extremal function of harmonic length problem and its application

DOI10.2996/kmj/1138846416zbMath0224.30038OpenAlexW2088096605MaRDI QIDQ5629930

Takao Kato

Publication date: 1971

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

Full work available at URL: https://doi.org/10.2996/kmj/1138846416

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Compact Riemann surfaces and uniformization (30F10) Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) Capacity and harmonic measure in the complex plane (30C85) Harmonic functions on Riemann surfaces (30F15)

Related Items (2)

Continuous linear functionals on the space of bounded harmonic functions ⋮ Function algebra invariants and the conformal structure of planar domains

Cites Work

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• On a problem of Heinz Hopf
• On analytic mappings of Riemann surfaces
• Über analytische Abbildungen Riemannscher Flächen in sich
• Analytic mapping and harmonic length

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