Surface families and boundary behavior of quasiregular mappings
Abstract
We study the boundary behavior of bounded quasiregular mappings f : Bn(0, 1) → Rn, n ≥ 3. We show that there exists a large family of cusps, with vertices on the boundary sphere S n−1 (0, 1), so that the images of these cusps under f have finite (n − 1)-measure.
Main Author
Format
Articles
Research article
Published
2005
Series
Subjects
Publication in research information system
Publisher
Duke University Press
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201903071768Use this for linking
Review status
Peer reviewed
ISSN
0019-2082
DOI
https://doi.org/10.1215/ijm/1258138131
Language
English
Published in
Illinois Journal of Mathematics
Citation
- Rajala, K. (2005). Surface families and boundary behavior of quasiregular mappings. Illinois Journal of Mathematics, 49(4), 1145-1153. https://doi.org/10.1215/ijm/1258138131
License
Copyright© 2005 University of Illinois