Rogosinski's lemma for univalent functions, hyperbolic Archimedean spirals and the Loewner equation

DOI10.1112/BLMS/BDU054zbMath1301.30041arXiv1311.0677OpenAlexW2005426183WikidataQ124798696 ScholiaQ124798696MaRDI QIDQ2922874

Oliver Roth, Sebastian Schleißinger

Publication date: 15 October 2014

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.0677

zbMATH Keywords

univalent functionhyperbolic distancereachable setLoewner equationhyperbolic Archimedean spiral

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (7)

A description method in the value region problem ⋮ Three value ranges for symmetric self-mappings of the unit disc ⋮ Value Regions in Classes of Conformal Mappings ⋮ Value regions of univalent self-maps with two boundary fixed points ⋮ Value ranges of univalent self-mappings of the unit disc ⋮ Value range of solutions to the chordal Loewner equation with restriction on the driving function ⋮ Value range of solutions to the chordal Loewner equation

Cites Work

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• Geometry behind chordal Loewner chains
• New inequalities from old ones
• On coefficient regions of univalent functions
• Composition operators and classical function theory
• Extreme points, support points and the Loewner variation in several complex variables
• Rigidity of Holomorphic Mappings and a New Schwarz Lemma at the Boundary

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