Minimal area problems for functions with integral representation

DOI10.1007/BF02790271zbMath1133.30303MaRDI QIDQ2479599

Dov Aharonov, Harold S. Shapiro, Alexander Yu. Solynin

Publication date: 1 April 2008

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

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

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Cites Work

• Domains on which analytic functions satisfy quadrature identities
• A minimal area problem in conformal mapping
• Area, width, and logarithmic capacity of convex sets.
• On a maximal outer area problem for a class of meromorphic univalent fuctions
• Concentration of area in half-planes
• Local variations and minimal area problem for Caratheodory functions
• A minimal area problem in conformal mapping. II
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