A minimal area problem in conformal mapping. II

DOI10.1007/BF02790264zbMath0980.30016OpenAlexW2017524430MaRDI QIDQ5941780

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

Publication date: 6 March 2002

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

Full work available at URL: https://doi.org/10.1007/bf02790264

zbMATH Keywords

Dirichlet integrallogarithmic function

Mathematics Subject Classification ID

Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Related Items (5)

Harold Seymour Shapiro 1928--2021; life in mathematics, in memoriam ⋮ Constrained Approximation via Functional Analysis ⋮ Minimal area problems for functions with integral representation ⋮ Topology of quadrature domains ⋮ Overdeterminded boundary value problems, quadrature domains and applications

Cites Work

• Quadrature domains
• Integral means, univalent functions and circular symmetrization
• Domains on which analytic functions satisfy quadrature identities
• The Euclidean, hyperbolic, and spherical spans of an open Riemann surface of low genus and the related area theorems
• The boundary distortion and extremal problems in certain classes of univalent functions
• A minimal area problem in conformal mapping
• On Circularly Symmetric Functions
• Symmetrization in the geometric theory of functions of a complex variable
• Properties of Conformal Invariants
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