Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 299)
A quasicircle in ℂ is a (not necessarily rectifiable) Jordan curve J such that
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).
$$ diam\;J(a,b) \leqslant M|a - b|\;for\;a,b \in J$$
KeywordsConnected 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.
Unable to display preview. Download preview PDF.
© Springer-Verlag Berlin Heidelberg 1992