Ahlfors maps, the double of a domain, and complexity in potential theory and conformal mapping

DOI10.1007/BF02791140zbMath0934.30005MaRDI QIDQ1808884

Steven R. Bell

Publication date: 3 April 2000

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

zbMATH Keywords

Bergman kernelPoisson kernelSzegö kernelAhlfors maps

Mathematics Subject Classification ID

Kernel functions in one complex variable and applications (30C40)

Related Items (10)

Classification of Toeplitz operators on Hardy spaces of bounded domains in the plane ⋮ Quadrature domains and kernel function zipping ⋮ An improved Riemann mapping theorem and complexity in potential theory ⋮ The Dirichlet and Neumann and Dirichlet-to-Neumann problems in quadrature, double quadrature, and non-quadrature domains ⋮ Möbius transformations, the Carathéodory metric, and the objects of complex analysis and potential theory in multiply connected domains ⋮ Carleson measures for the Drury-Arveson Hardy space and other Besov-Sobolev spaces on complex balls ⋮ The structure of the semigroup of proper holomorphic mappings of a planar domain to the unit disc ⋮ Generalized Ahlfors functions ⋮ Just analysis: the Poisson-Szegő-Bergman kernel ⋮ Complexity in complex analysis.

Cites Work

• The Szegö projection and the classical objects of potential theory in the plane
• 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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