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
Publié le : 2008-07-15
Classification:
John disk,
John domain,
internal distances,
bilipschitz map,
quasidisk,
30C62,
30C20
@article{1220619456,
author = {Broch, Ole Jacob},
title = {John disks are local bilipschitz images of quasidisks},
journal = {Hiroshima Math. J.},
volume = {38},
number = {1},
year = {2008},
pages = { 193-201},
language = {en},
url = {http://dml.mathdoc.fr/item/1220619456}
}
Broch, Ole Jacob. John disks are local bilipschitz images of quasidisks. Hiroshima Math. J., Tome 38 (2008) no. 1, pp. 193-201. http://gdmltest.u-ga.fr/item/1220619456/