On extremal quasiconformal mappings compatible with a Fuchsian group

DOI10.2748/tmj/1178229310zbMath0496.30013OpenAlexW2080079674MaRDI QIDQ1170393

Ken-Ichi Sakan

Publication date: 1982

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229310

zbMATH Keywords

Fuchsian groupPoincare series operatorextremal quasiconformal map

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Quasiconformal mappings in the complex plane (30C62) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Related Items (3)

Extremal quasiconformal mappings ⋮ On the unique extremality of quasiconformal mappings with dilatation bounds ⋮ On extremal quasiconformal mappings compatible with a Fuchsian group with a dilatation bound

Cites Work

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• On quasiconformal mappings compatible with a Fuchsian group
• Lifts of extremal quasiconformal mappings of arbitrary Riemann surfaces
• The dilatation of an extremal quasi-conformal mapping
• On lifts of extremal quasiconformal mappings
• The extermal property of certain Teichmüller mappings

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