Angular derivatives for holomorphic self-maps of the disk

DOI10.1007/s40315-017-0199-xzbMath1393.30040OpenAlexW2608560347MaRDI QIDQ1687104

Jochen Becker, Christian Pommerenke

Publication date: 22 December 2017

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

Full work available at URL: https://doi.org/10.1007/s40315-017-0199-x

zbMATH Keywords

bounded holomorphic functionsangular derivativesangular limits

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Boundary value problems in the complex plane (30E25)

Related Items

Inverse function theorem on the class of holomorphic self-maps of a disc with two fixed points ⋮ Strengthening of Landau's theorem for holomorphic self-mappings of a disk with fixed points ⋮ Asymptotically sharp two-sided estimate for domains of univalence of holomorphic self-maps of a disc with an invariant diameter ⋮ Two-sided estimates for domains of univalence for classes of holomorphic self-maps of a disc with two fixed points ⋮ Generalization of the Landau and Becker-Pommerenke inequalities

Cites Work

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• Composition operators and classical function theory
• On inner functions with \(H^p\)-derivative
• On normal and automorphic functions
• Inequalities for angular derivatives and boundary interpolation
• On the images of horodisks under holomorphic self-maps of the unit disk
• Analytic flows on the unit disk: angular derivatives and boundary fixed points
• On Distortion Under Bounded Univalent Functions with the Angular Derivative Fixed
• Angular and Tangential Limits of Blaschke Products and their Successive Derivatives
• Inequalities for the Angular Derivative of an Analytic Function in the Unit Disk
• Angular derivatives at boundary fixed points for self-maps of the disk
• Digons and angular derivatives of analytic self-maps of the unit disk