Distortion in the Spherical Metric under Quasiconformal Mappings

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

This paper contains bounds for the distortion in the spherical metric, that is to say bounds for the constant of Holder continuity of mappings f : (\Rn,q) -> (\Rn, q) where q denotes the spherical metric. The mappings considered are K-quasiconformal (K >= 1) and satisfy some normalizations or restrictions. All bounds are explicit and asymptotically sharp as K -> 1.
9 pages, 1 figure

Keywords

Classical Analysis and ODEs, 30C80

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/61603

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0106045
 http://arxiv.org/abs/math/0106045

Collections

arXiv