Hokkaido Mathematical Journal

CHU Yuming, ZHAO Zhenjiang,

Bounded circular distortion curves and quasidisks.

Hokkaido Mathematical Journal, 34 (2005) pp.97-101

Fulltext

PDF

Abstract

Let $D$ be a Jordan domain in $\overline R^2$ and $\Gamma=\partial D$ be the boundary of $D$. Then $D$ is a quasidisk if and only if $\Gamma$ is a bounded circular distortion curve.

MSC(Primary)30C62
MSC(Secondary)
Uncontrolled Keywordsbounded circular distortion curve, quasidisk, quasiconformal, mapping