The structure of the semigroup of proper holomorphic mappings of a planar domain to the unit disc

DOI10.1007/BF03321685zbMath1154.30007arXivmath/0703200OpenAlexW1994291951MaRDI QIDQ934543

Faisal Kaleem, Steven R. Bell

Publication date: 29 July 2008

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703200

zbMATH Keywords

Poisson kernelAhlfors mapsGrunsky maps

Mathematics Subject Classification ID

General theory of conformal mappings (30C35)

Related Items (3)

Szegő coordinates, quadrature domains, and double quadrature domains ⋮ The Szegő kernel and proper holomorphic mappings to a half plane ⋮ Rational Ahlfors functions

Cites Work

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• On removal of periods of conjugate functions in multiply connected domains
• Ahlfors maps, the double of a domain, and complexity in potential theory and conformal mapping
• Quadrature identities and the Schottky double
• Quadrature domains and kernel function zipping
• A lemma on positive harmonic functions
• Extreme normalized analytic functions with positive real part
• Proper holomorphic self-maps of plane regions
• Complexity of the classical kernel functions of potential theory

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