Bloch constants

DOI10.1007/BF02803394zbMath0517.30023OpenAlexW4232856804MaRDI QIDQ1053146

Carl David Minda

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf02803394

zbMATH Keywords

hyperbolic metricBloch constant

Mathematics Subject Classification ID

Geometric function theory (30C99) Covering theorems in conformal mapping theory (30C25)

Related Items (21)

Estimates for the hyperbolic metric ⋮ Bloch Constants for Meromorphic Functions Near an Isolated Singularity ⋮ Extremal functions for Boch constants ⋮ Quasi-conformal variations and local minimality of the Ahlfors-Grunsky function ⋮ Landau-Bloch constants for functions in \(\alpha\)-Bloch spaces and Hardy spaces ⋮ Domain Bloch Constants ⋮ Quotients of hyperbolic metrics ⋮ Multiply connected wandering domains of meromorphic functions: the pursuit of uniform internal dynamics ⋮ Metrics with conical singularities on the sphere and sharp extensions of the theorems of Landau and Schottky ⋮ Bloch constants for meromorphic functions ⋮ LANDAU’S THEOREM AND MARDEN CONSTANT FOR HARMONIC ν-BLOCH MAPPINGS ⋮ Strong submultiplicativity of the Poincaré metric ⋮ Bloch functions and Bloch constants ⋮ Distortion Theorems for Bloch Functions ⋮ On the locally univalent Bloch constant ⋮ On the locally univalent Bloch constant ⋮ The Schwarz type lemmas and the Landau type theorem of mappings satisfying Poisson's equations ⋮ On Bloch's constant ⋮ Marden constants for Bloch and normal functions ⋮ A general conformal geometric reflection principle ⋮ Euclidean, hyperbolic and spherical Bloch constants

Cites Work

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• Bloch constants for meromorphic functions
• The hyperbolic metric and coverings of Riemann surfaces
• Bloch's theorem for meromorphic functions
• Bloch functions
• Über die Blochsche Konstante. (On the Bloch constant)
• On a Class of Conformal Metrics
• A Geometric Characterization of Analytic Functions with Bounded Mean Oscillation
• Euclidean, hyperbolic and spherical Bloch constants
• On Bloch Functions
• An Extension of Schwarz's Lemma
• On an extension of Bloch's theorem

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