Computational Methods and Function Theory 3 (2003), No. 1, 143--150
Copyright Heldermann Verlag 2003
Frederick W. Gehring
fgehring@umich.edu, Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, U.S.A.
Kari Hag
kari@math.ntnu.no, Institutt for matematiske fag, NTNU, 7491 Trondheim, Norway.
The geometry of a Jordan domain $D$ is encoded in properties of the homeomorphism $h\colon\partial \B \to \partial \B$ induced by conformal mappings of $D$ and~$D^*$ onto the unit disk $\B$. We illustrate here how $h$ can be used to study quasidisks.
Keywords: Quasidisk, conjugate quadrilateral inequality, harmonic quasisymmetry, cross ratio.
MSC 2000: 30C62.
[FullText-pdf (288 K)] [FullText-ps (276 K)]