Möbius transformations, the Carathéodory metric, and the objects of complex analysis and potential theory in multiply connected domains

DOI10.1307/mmj/1060013201zbMath1039.30003arXivmath/0203280OpenAlexW1973338713MaRDI QIDQ1411312

Steven R. Bell

Publication date: 27 October 2003

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0203280

zbMATH Keywords

conformal mappingsdomain functions

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Kernel functions in one complex variable and applications (30C40)

Related Items (1)

Quadrature domains and kernel function zipping

Cites Work

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• The Szegö projection and the classical objects of potential theory in the plane
• Ahlfors maps, the double of a domain, and complexity in potential theory and conformal mapping
• Finitely generated function fields and complexity in potential theory in the plane
• The fundamental role of the Szegö kernel in potential thoery and complex
• Complexity of the classical kernel functions of potential theory

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