Extremal problems and symmetrization for plane ring domains

DOI10.1090/S0002-9947-96-01546-2zbMath0860.30027OpenAlexW1521291725MaRDI QIDQ4717112

Alexander Yu. Solynin, Matti Vuorinen

Publication date: 13 April 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-96-01546-2

zbMATH Keywords

extremal problemsymmetrization methodplane ring domains

Mathematics Subject Classification ID

Capacity and harmonic measure in the complex plane (30C85) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (8)

Geometric function theory. Jenkins' results. The method of modules of curve families ⋮ The Vuorinen problem on the maximum of the conformal module ⋮ Extremal problems on conformal moduli and estimates for harmonic measures ⋮ On conformal capacity and Teichmüller's modulus problem in space ⋮ Estimates for the hyperbolic metric of the punctured plane and applications ⋮ Teichmüller's extremal ring problem ⋮ Topics in special functions. II ⋮ Riemann-Schwarz reflection principle and asymptotics of modules of rectangular frames

Cites Work

• Solution of a Pólya-Szegö isoperimetric problem
• Ring domains with separating circles or separating annuli
• Moduli of doubly connected domains and conformally invariant metrics
• Conformal geometry and quasiregular mappings
• Conformal capacities and extremal metrics
• On metrics defined by modules
• Symmetrization of Rings in Space
• Conformally Invariant Extremal Problems and Quasiconformal Maps
• ON THE MODULUS OF DOUBLY-CONNECTED DOMAINS
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