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Quasidisks

  • Christian Pommerenke
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 299)

Abstract

A quasicircle in ℂ is a (not necessarily rectifiable) Jordan curve J such that
$$ diam\;J(a,b) \leqslant M|a - b|\;for\;a,b \in J$$
where J(a, b) is the smaller arc of J between a and b. The inner domain is called a quasidisk. This important concept was introduced by Ahlfors and appears in many different contexts (see e.g. Geh87).

Keywords

Connected Domain Jordan Curve Schwarzian Derivative Analytic Family Angular Derivative 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Christian Pommerenke
    • 1
  1. 1.Fachbereich MathematikTechnische UniversitätBerlin 12Germany

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