Boundary behavior of the Riemann mapping function of asymptotically conformal curves

DOI10.1007/BF01215333zbMath0469.30013OpenAlexW2009625246MaRDI QIDQ1156894

Stefan E. Warschawski, F. D. Lesley

Publication date: 1982

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173146

zbMATH Keywords

boundary behaviorasymptotically conformal curvesvanishing mean oscillationRiemann mapping functionbounded mean oscillation analyticmodulus of continuity at the boundary

Mathematics Subject Classification ID

Related Items (9)

ON KELLOGG'S THEOREM FOR QUASICONFORMAL MAPPINGS ⋮ Kellogg's theorem for diffeomophic minimizers of Dirichlet energy between doubly connected Riemann surfaces ⋮ Conformal Mappings of Domains Satisfying a Wedge Condition ⋮ \((K, K^{\prime})\)-quasiconformal harmonic mappings ⋮ Quasiconformal and harmonic mappings between Jordan domains ⋮ Quasiconformal harmonic mappings between \(C^{1,\mu}\) Euclidean surfaces ⋮ Univalent functions, \(VMOA\) and related spaces ⋮ Minimisers and Kellogg's theorem ⋮ On boundary correspondences under quasiconformal harmonic mappings between smooth Jordan domains

Cites Work

• On conformal mappings with derivative in VMOA
• On univalent functions, Bloch functions and VMOA
• Über die quasikonforme Fortsetzung schlichter Funktionen
• On results of Ahlfors and Hayman
• Smooth functions
• On Differentiability at the Boundary in Conformal Mapping
• On functions of bounded mean oscillation
• Oscillation on Vertical Crosscuts in the Conformal Mapping of Infinite Strips
• The method of extremal length
• On Conformal Mapping of Infinite Strips
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