Quadrilaterals and John disks
type: Item
instance of: scholarly article
title: Quadrilaterals and John disks
zbMATH Open document ID: 1076.30013
DOI: 10.1007/BF03321078
author: Ole Jacob Broch
published in: Computational Methods and Function Theory
publication date: 2005-07-06T00:00:00Z
review text: The author investigates the relations involving ordered quadruples of points on the boundary of a Jordan domain, and shows that these relations hold iff the domain is a John disk. In particular, the author examined the connections between absolute cross ratios and moduli of corresponding quadrilaterals. The author also gives a characterization of John disks based on a relation between diameters of subarcs of the boundary and bounds for moduli of associated quadrilaterals. These results are one sided analogues to characterizations of quasidisks.
Mathematics Subject Classification ID: 30C20
Mathematics Subject Classification ID: 30C99
zbMATH DE Number: 2186788
zbMATH Keywords: John disk
zbMATH Keywords: quadrilateral
zbMATH Keywords: reversed triangle inequality
zbMATH Keywords: cross ratio
zbMATH Keywords: quasimöbius map
zbMATH Keywords: modulus
zbMATH Keywords: harmonic doubling condition
reviewed by: Jianming Chang
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2186788