The dielectric Green's function and quasiconformal mapping

DOI10.1007/BF02798784zbMath0459.30010OpenAlexW2084768722MaRDI QIDQ1151989

Glenn Schober, M. M. Schiffer

Publication date: 1979

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02798784

zbMATH Keywords

conformal mappingkernel functioncalculus of variationdielectric Green's functionGrunsky-Golusin inequalitiesquasi- conformal mapping

Mathematics Subject Classification ID

Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) Kernel functions in one complex variable and applications (30C40)

Cites Work

• A variational method for general families of quasiconformal mappings
• Univalent functions. Selected topics
• The Fredholm eigenvalues of plane domains
• Fredholm eigenvalues of multiply-connected domains
• A variational method for univalent quasiconformal mappings
• Identitäten bei quasikonformen Normalabbildungen und eine hiermit zusammenhängende Kernfunktion
• Representation of fundamental solutions for generalized Cauchy-Riemann equations by quasiconformal mappings
• Verzerrungssätze und Koeffizientenbedingungen von GRUNSKYschen Typ für quasikonforme Abbildungen

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