euclid.ijm.1258138131.pdf
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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
Rajala, Kai
Format
Articles Research article
Published
2005
Series
Illinois Journal of Mathematics
Subjects
quasiregular mappings
Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/16738125
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
License
In CopyrightOpen Access
Copyright© 2005 University of Illinois

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description 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.
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spellingShingle Surface families and boundary behavior of quasiregular mappings Rajala, Kai quasiregular mappings Illinois Journal of Mathematics
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title Surface families and boundary behavior of quasiregular mappings
title_full Surface families and boundary behavior of quasiregular mappings
title_fullStr Surface families and boundary behavior of quasiregular mappings
title_full_unstemmed Surface families and boundary behavior of quasiregular mappings
title_short Surface families and boundary behavior of quasiregular mappings
title_sort Surface families and boundary behavior of quasiregular mappings
topic quasiregular mappings
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