Document Type

Article

Date

12-20-2006

Embargo Period

11-15-2011

Disciplines

Mathematics

Description/Abstract

We 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.

Additional Information

This manuscript is from arXiv.org, for more information see http://arxiv.org/abs/math/0611110

Source

Harvested from arXiv.org

Creative Commons License


This work is licensed under a Creative Commons Attribution 3.0 License.

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