Abstract
It is proved that all bounded John disks are local bilipschitz images of quasidisks. This makes it easy to prove many necessary conditions for John disks
Citation
Ole Jacob Broch. "John disks are local bilipschitz images of quasidisks." Hiroshima Math. J. 38 (2) 193 - 201, July 2008. https://doi.org/10.32917/hmj/1220619456
Information
Published: July 2008
First available in Project Euclid: 5 September 2008
zbMATH: 1208.30020
MathSciNet: MR2437570
Digital Object Identifier: 10.32917/hmj/1220619456
Subjects:
Primary:
30C62
Secondary:
30C20
Keywords:
bilipschitz map
,
internal distances
,
John disk
,
John domain
,
quasidisk
Rights: Copyright © 2008 Hiroshima University, Mathematics Program
