Conformal welding for domains close to a disk

DOI10.1007/s13324-011-0007-0zbMath1276.30016OpenAlexW2035949633MaRDI QIDQ692079

Dmitry Vladimirovich Prokhorov

Publication date: 4 December 2012

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-011-0007-0

zbMATH Keywords

univalent functionconformal mapparametric representationLoewner equationconformal weldingLöwner-Kufarev equationvariational formula

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Conformal mappings of special domains (30C20)

Related Items (3)

Asymptotic conformal welding via Löwner-Kufarev evolution ⋮ Harmonic Measures of Slit Sides, Conformal Welding and Extremum Problems ⋮ An Asymptotic Relation for Conformal Radii of Two Nonoverlapping Domains

Cites Work

• Conformal welding and Koebe's theorem
• Singular and Tangent Slit Solutions to the Löwner Equation
• The Loewner differential equation and slit mappings
• Weil-Petersson metric on the universal Teichmüller space
• Über die Subordination analytischer Funktionen.
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