Extremal length and univalent functions. I: The angular derivative

DOI10.1007/BF01214728zbMath0384.30006MaRDI QIDQ1248599

Stefan E. Warschawski, Burton Rodin

Publication date: 1977

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

Full work available at URL: https://eudml.org/doc/172474

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Capacity and harmonic measure in the complex plane (30C85) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Related Items (12)

Brownian excursions and minimal thinness. III: Applications to the angular derivative problem ⋮ Remarks on a paper of K. Burdzy ⋮ Positive Harmonic Majorization of the Real Part of a Holomorphic Function ⋮ Extremal functions for modules of systems of measures ⋮ Conformal invariants and the angular derivative problem ⋮ On comb domains ⋮ Modules of systems of measures on polarizable Carnot groups ⋮ Contact points and fractional singularities for semigroups of holomorphic self-maps of the unit disc ⋮ On the rate of convergence of semigroups of holomorphic functions at the Denjoy-Wolff point ⋮ On the angular derivative of comb domains ⋮ Angular derivatives and semigroups of holomorphic functions ⋮ Remarks on conformality at the boundary

Cites Work

• Longueurs extrémales et théorie des fonctions
• Comparison domains for the problem of the angular derivative
• On results of Ahlfors and Hayman
• On angular derivatives of univalent functions
• Extremal length and the boundary behavior of conformal mappings
• On the Boundary Behavior of Conformal Maps
• On the Differentiability of Conformal Maps at the Boundary
• Remarks on the Angular Derivative
• On Bounded Oscillation and Asymptotic Expansion of Conformal Strip Mappings
• On Conformal Mapping of Infinite Strips
• Sur l'inégalité d'Ahlfors et son application au problème de la dérivée angulaire
• Estimates of harmonic measures
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