Angular derivatives of bounded univalent functions and extremal partitions of the unit disk.

DOI10.2140/pjm.2002.206.425zbMath1052.30018OpenAlexW1991717151MaRDI QIDQ1858333

Alexander Vasil'ev, Christian Pommerenke

Publication date: 13 February 2003

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2002.206.425

zbMATH Keywords

angular derivativebounded univalent functionsangular limitStolz angleinequality of Schiffer-Tammi

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Related Items (14)

ISOPERIMETRIC INEQUALITY FOR A CORNER HELE–SHAW DYNAMICS ⋮ Distortion theorems for univalent meromorphic functions on an annulus ⋮ On the \(p\)-harmonic Robin radius in the Euclidean space ⋮ Parametric representation of univalent functions with boundary regular fixed points ⋮ Estimate of the second coefficient of holomorphic mappings of a disk into itself with two fixed points ⋮ Inequalities for angular derivatives and boundary interpolation ⋮ Extremal decomposition problems for \(p\)-harmonic radius ⋮ Value regions of univalent self-maps with two boundary fixed points ⋮ Editorial. Dedication to Alexander Vasil'ev (1962--2016) ⋮ Boundary distortion estimates for holomorphic maps ⋮ Polynomials with critical values on intervals ⋮ On inequalities for bounded univalent functions ⋮ The Schwarz Lemma: Rigidity and Dynamics ⋮ In memoriam Alexander Vasil'ev (1962--2016)

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