Coefficient problems and generalized Grunsky inequalities for schlicht functions with quasiconformal extensions

DOI10.1007/BF01789257zbMath0339.30012OpenAlexW2019453930MaRDI QIDQ1230868

Glenn Schober, M. M. Schiffer

Publication date: 1976

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01789257

Mathematics Subject Classification ID

Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) Quasiconformal mappings in the complex plane (30C62) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (8)

Grunsky inequalities and Fredholm spectrum in general domains ⋮ Univalent functions and regularly measurable maps ⋮ Variational method for schlicht analytic functions with a quasiconformal continuation ⋮ Faber and Grunsky operators corresponding to bordered Riemann surfaces ⋮ Loewner Theory for Quasiconformal Extensions: Old and New ⋮ On univalent functions with quasiconformal extensions over the boundary ⋮ Sharp estimates of the modulus of a univalent analytic function with quasiconformal continuation ⋮ On extremal quasiconformal extensions of conformal mappings

Cites Work

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• A variational method for univalent quasiconformal mappings
• The local maximum theorem for the coefficients of univalent functions
• Further generalizations of the Grunsky inequalities
• An extremal problem for the Fredholm eigenvalues
• Extremal Problems in Classes of Analytic Univalent Functions with Quasiconformal Extensions
• Wertannahmeprobleme bei quasikonformen Abbildungen mit ortsabhängiger Dilatationsbeschränkung
• Verzerrungssätze und Koeffizientenbedingungen von GRUNSKYschen Typ für quasikonforme Abbildungen
• Löwnersche Differentialgleichung und quasikonform fortsetzbare schlichte Funktionen.
• Modifizierung und Erweiterung einer Schifferschen Variationsmethode für quasikonforme Abbildungen

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