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).
$$ diam\;J(a,b) \leqslant M|a - b|\;for\;a,b \in J$$
Unable to display preview. Download preview PDF.
© Springer-Verlag Berlin Heidelberg 1992