Doubling measures, monotonicity, and quasiconformality

Simple item page
dc.creatorKovalev, Leonid V.
dc.creatorMaldonado, Diego
dc.creatorWu, Jang-Mei
dc.date2006-11-04
dc.date2006-12-20
dc.date.accessioned2026-07-07T08:27:00Z
dc.date.available2026-07-07T08:27:00Z
dc.descriptionWe construct quasiconformal mappings in Euclidean spaces by integration of a discontinuous kernel against doubling measures with suitable decay. The differentials of mappings that arise in this way satisfy an isotropic form of the doubling condition. We prove that this isotropic doubling condition is satisfied by the distance functions of certain fractal sets. Finally, we construct an isotropic doubling measure that is not absolutely continuous with respect to the Lebesgue measure.
dc.description20 pages. Revised to address referee's comments
dc.identifierhttps://arxiv.org/abs/math/0611110
dc.identifierhttp://arxiv.org/abs/math/0611110
dc.identifierMath. Z. 257 (2007), no. 3, 525-545
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137137
dc.subjectClassical Analysis and ODEs
dc.subjectMetric Geometry
dc.subject30C65; 28A75, 42A55, 47H05
dc.titleDoubling measures, monotonicity, and quasiconformality
dc.typetext

Files

Collections

arXiv