Quasiconformal variation of slit domains

DOI10.1090/S0002-9939-01-05991-3zbMath0977.30008OpenAlexW1851182386MaRDI QIDQ2731933

Adam Lawrence Epstein, Clifford J. Earle

Publication date: 30 July 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-05991-3

zbMATH Keywords

Löwner differential equationconformal radiusslit domain

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Quasiconformal mappings in the complex plane (30C62)

Related Items

Exact solutions of the multiple Loewner equation, The Loewner differential equation and slit mappings, Loewner chains and Hölder geometry, A support theorem for SLE curves, Non-slit and singular solutions to the Löwner equation, Harmonic measures of sides of a slit perpendicular to the domain boundary, A Komatu-Loewner equation for multiple slits, Driving functions and traces of the Loewner equation, Remarks on Loewner chains driven by finite variation functions, Smoothness of Loewner slits, Sufficient conditions in the two-functional conjecture for univalent functions, Parametric characteristics of high-order tangential Loewner's slits, Perturbation of the tangential slit by conformal maps, On tangential slit solution of the Loewner equation, ASYMPTOTIC RATIO OF HARMONIC MEASURES OF SLIT SIDES, Classical and Stochastic Löwner–Kufarev Equations, Loewner curvature

Cites Work

• Riemann's mapping theorem for variable metrics
• Behavior of the riemann mapping function under complex analytic deformations of the domain
• Zur konformen Schlitzabbildung
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