|
Title:
|
A NOTE ON QUASICONFORMAL MAPS WITH H"OLDER-CONTINUOUS DILATATION
|
|
Author:
|
GILL, JAMES T.; ROHDE, STEFFEN
|
|
Abstract:
|
Recently J. Mateu, J. Orobitg, and J. Verdera showed that a Hölder continuous complex dilatation supported on smooth domains is a sufficient condition for the resulting quasiconformal map to be bi-Lipschitz. Their proof is analytic and based on properties of the Beurling-Ahlfors transform. We give an alternate, more geometric proof and use it to extend their result to supporting domains with positive angle corners. |
|
Publication date:
|
2013-01-01 |
|
Subject (UDC):
|
51 - Matemàtiques |
|
Subject(s):
|
Matemàtiques |
|
Rights:
|
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons:http://creativecommons.org/licenses/by-nc-nd/4.0/ |
|
Pages:
|
14 p. |
|
Document type:
|
Preprint |
|
Publish at:
|
CRM Preprints
|
|
Share:
|
|
