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Sewing Homeomorphisms and Quasidisks

Sewing Homeomorphisms and Quasidisks The geometry of a Jordan domain D is encoded in properties of the homeomorphism \documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$h:\partial {\rm D}\rightarrow \partial {\rm D}$\end{document}D induced by conformal mappings of D and D* onto the unit disk D. We illustrate here how h can be used to study quasidisks. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

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Publisher
Springer Journals
Copyright
Copyright © Heldermann  Verlag 2003
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/bf03321031
Publisher site
See Article on Publisher Site

Abstract

The geometry of a Jordan domain D is encoded in properties of the homeomorphism \documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$h:\partial {\rm D}\rightarrow \partial {\rm D}$\end{document}D induced by conformal mappings of D and D* onto the unit disk D. We illustrate here how h can be used to study quasidisks.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Mar 1, 2004

Keywords: Quasidisk; conjugate quadrilateral inequality; harmonic quasisymmetry; cross ratio; 30C62

References