On existence of Becker extension

DOI10.54330/afm.120591zbMath1502.30071arXiv2003.10037OpenAlexW3012728014MaRDI QIDQ5097193

Pavel Gumenyuk

Publication date: 22 August 2022

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.10037

zbMATH Keywords

univalent functionboundary behaviorquasiconformal extensionLoewner chainBecker extension

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Quasiconformal mappings in the complex plane (30C62) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Cites Work

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• Chordal Loewner chains with quasiconformal extensions
• Löwner chains with complex leading coefficient
• Behaviour of kernel functions under homotopic variations of planar domains
• Explicit quasiconformal extensions and Löwner chains
• Quasiconformal mappings in the plane: parametrical methods. In cooperation with Jan Krzyz
• On univalent functions with quasiconformal extensions over the boundary
• Quasiconformal extensions, Loewner chains, and the \(\lambda \)-lemma
• On the Epstein univalence criterion
• Loewner chains with quasiconformal extensions: an approximation approach
• The Loewner and Hadamard variations
• On Differentiability at the Boundary in Conformal Mapping
• A Uniqueness Theorem for Beltrami Equations
• Univalent functions with quasiconformal extensions: Becker’s class and estimates of the third coefficient
• Eine Verschärfung des Koebeschen Viertelsatzes für quasikonform firtsetzbare Abbildungen
• Über die Lösungsstruktur einer Differentialgleichung in der konformen Abbildung.
• Shorter Notes: On a Lipschitz Estimate for Conformal Maps in the Plane
• Abschätzung des dritten Koeffizienten bei den quasikonform fortsetzbaren schlichten Funktionen der KlasseS
• Local duality in Loewner equations
• Weil-Petersson metric on the universal Teichmüller space
• Über die Subordination analytischer Funktionen.
• Wertannahmeprobleme bei quasikonformen Abbildungen mit ortsabhängiger Dilatationsbeschränkung
• Löwnersche Differentialgleichung und quasikonform fortsetzbare schlichte Funktionen.

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