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
License
In CopyrightOpen Access
Copyright© 2005 University of Illinois

Share

_version_ 1824577775657287680
accesslevel_txtF openAccess
author Rajala, Kai
author_facet Rajala, Kai
content_txtF fulltext
converis_txtF yes
departments_txtF_mv Matematiikan ja tilastotieteen laitos Department of Mathematics and Statistics
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.
digitoitu_txtF no
discipline_txtF Geometrinen analyysi ja matemaattinen fysiikka
file_count_txtF 1
files_txt [{"restricted": "no", "bundleName": "ORIGINAL", "format": "Adobe PDF", "mimeType": "application/pdf", "name": "euclid.ijm.1258138131.pdf", "description": "Publisher's PDF", "retrieveLink": "/rest/bitstreams/c939b3e0-816c-419c-b1b2-f751fba2778e/retrieve"}, {"restricted": "no", "bundleName": "LICENSE", "format": "License", "mimeType": "text/plain", "name": "license.txt", "description": null, "retrieveLink": "/rest/bitstreams/4b017fc8-fcac-452c-aa19-8e65088a7099/retrieve"}, {"restricted": "no", "bundleName": "SWORD", "format": "ZIP archive", "mimeType": "application/zip", "name": "24967.zip", "description": "SWORD deposit package", "retrieveLink": "/rest/bitstreams/62c3fe21-d8b9-43e7-99be-616a9883c322/retrieve"}, {"restricted": "no", "bundleName": "TEXT", "format": "Text", "mimeType": "text/plain", "name": "euclid.ijm.1258138131.pdf.txt", "description": "Extracted text", "retrieveLink": "/rest/bitstreams/c5cca1dc-5d9a-4f64-808d-bfebebed1886/retrieve"}, {"restricted": "no", "bundleName": "THUMBNAIL", "format": "JPEG", "mimeType": "image/jpeg", "name": "euclid.ijm.1258138131.pdf.jpg", "description": "Generated Thumbnail", "retrieveLink": "/rest/bitstreams/19d90498-8822-4c63-9ecf-3841b9d7fda4/retrieve"}]
format 0/Artikkelit/ 1/Artikkelit/research article/
fullrecord
key : dc.contributor.author
value : Rajala, Kai
language :
element : contributor
qualifier : author
schema : dc
key : dc.date.accessioned
value : 2019-03-15T11:44:01Z
language :
element : date
qualifier : accessioned
schema : dc
key : dc.date.available
value : 2019-03-15T11:44:01Z
language :
element : date
qualifier : available
schema : dc
key : dc.date.issued
value : 2005
language :
element : date
qualifier : issued
schema : dc
key : dc.identifier.citation
value : 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
language :
element : identifier
qualifier : citation
schema : dc
key : dc.identifier.other
value : jyu-pub.16738125
language :
element : identifier
qualifier : other
schema : dc
key : dc.identifier.uri
value : https://jyx.jyu.fi/handle/123456789/63151
language :
element : identifier
qualifier : uri
schema : dc
key : dc.description.abstract
value : 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.
language : fi
element : description
qualifier : abstract
schema : dc
key : dc.format.mimetype
value : application/pdf
language :
element : format
qualifier : mimetype
schema : dc
key : dc.language.iso
value : eng
language :
element : language
qualifier : iso
schema : dc
key : dc.publisher
value : Duke University Press
language :
element : publisher
qualifier :
schema : dc
key : dc.relation.ispartofseries
value : Illinois Journal of Mathematics
language :
element : relation
qualifier : ispartofseries
schema : dc
key : dc.rights
value : In Copyright
language :
element : rights
qualifier :
schema : dc
key : dc.subject.other
value : quasiregular mappings
language :
element : subject
qualifier : other
schema : dc
key : dc.title
value : Surface families and boundary behavior of quasiregular mappings
language :
element : title
qualifier :
schema : dc
key : dc.type
value : research article
language :
element : type
qualifier :
schema : dc
key : dc.identifier.urn
value : URN:NBN:fi:jyu-201903071768
language :
element : identifier
qualifier : urn
schema : dc
key : dc.contributor.department
value : Matematiikan ja tilastotieteen laitos
language : fi
element : contributor
qualifier : department
schema : dc
key : dc.contributor.department
value : Department of Mathematics and Statistics
language : en
element : contributor
qualifier : department
schema : dc
key : dc.subject.discipline
value : Matematiikka
language : fi
element : subject
qualifier : discipline
schema : dc
key : dc.subject.discipline
value : Geometrinen analyysi ja matemaattinen fysiikka
language : fi
element : subject
qualifier : discipline
schema : dc
key : dc.subject.discipline
value : Mathematics
language : en
element : subject
qualifier : discipline
schema : dc
key : dc.subject.discipline
value : Geometric Analysis and Mathematical Physics
language : en
element : subject
qualifier : discipline
schema : dc
key : dc.type.uri
value : http://purl.org/eprint/type/JournalArticle
language :
element : type
qualifier : uri
schema : dc
key : dc.date.updated
value : 2019-03-07T07:15:26Z
language :
element : date
qualifier : updated
schema : dc
key : dc.type.coar
value : http://purl.org/coar/resource_type/c_2df8fbb1
language :
element : type
qualifier : coar
schema : dc
key : dc.description.reviewstatus
value : peerReviewed
language :
element : description
qualifier : reviewstatus
schema : dc
key : dc.format.pagerange
value : 1145-1153
language :
element : format
qualifier : pagerange
schema : dc
key : dc.relation.issn
value : 0019-2082
language :
element : relation
qualifier : issn
schema : dc
key : dc.relation.numberinseries
value : 4
language :
element : relation
qualifier : numberinseries
schema : dc
key : dc.relation.volume
value : 49
language :
element : relation
qualifier : volume
schema : dc
key : dc.type.version
value : publishedVersion
language :
element : type
qualifier : version
schema : dc
key : dc.rights.copyright
value : © 2005 University of Illinois
language :
element : rights
qualifier : copyright
schema : dc
key : dc.rights.accesslevel
value : openAccess
language : fi
element : rights
qualifier : accesslevel
schema : dc
key : dc.type.publication
value : article
language :
element : type
qualifier : publication
schema : dc
key : dc.format.content
value : fulltext
language :
element : format
qualifier : content
schema : dc
key : dc.rights.url
value : http://rightsstatements.org/page/InC/1.0/?language=en
language :
element : rights
qualifier : url
schema : dc
key : dc.relation.doi
value : 10.1215/ijm/1258138131
language :
element : relation
qualifier : doi
schema : dc
key : dc.type.okm
value : A1
language :
element : type
qualifier : okm
schema : dc
files : [{"restricted":"no","bundleName":"ORIGINAL","format":"Adobe PDF","mimeType":"application\/pdf","name":"euclid.ijm.1258138131.pdf","description":"Publisher's PDF","retrieveLink":"\/rest\/bitstreams\/c939b3e0-816c-419c-b1b2-f751fba2778e\/retrieve"},{"restricted":"no","bundleName":"LICENSE","format":"License","mimeType":"text\/plain","name":"license.txt","description":null,"retrieveLink":"\/rest\/bitstreams\/4b017fc8-fcac-452c-aa19-8e65088a7099\/retrieve"},{"restricted":"no","bundleName":"SWORD","format":"ZIP archive","mimeType":"application\/zip","name":"24967.zip","description":"SWORD deposit package","retrieveLink":"\/rest\/bitstreams\/62c3fe21-d8b9-43e7-99be-616a9883c322\/retrieve"},{"restricted":"no","bundleName":"TEXT","format":"Text","mimeType":"text\/plain","name":"euclid.ijm.1258138131.pdf.txt","description":"Extracted text","retrieveLink":"\/rest\/bitstreams\/c5cca1dc-5d9a-4f64-808d-bfebebed1886\/retrieve"},{"restricted":"no","bundleName":"THUMBNAIL","format":"JPEG","mimeType":"image\/jpeg","name":"euclid.ijm.1258138131.pdf.jpg","description":"Generated Thumbnail","retrieveLink":"\/rest\/bitstreams\/19d90498-8822-4c63-9ecf-3841b9d7fda4\/retrieve"}]
id jyx_123456789_63151
isbn_txtF no
ispartofseries_txtF_mv Illinois Journal of Mathematics
issn 0019-2082
issued_txtF 2005
language_txtF_mv eng
mimetype_txtF_mv application/pdf
okm_txtF A1
online_urls_str_mv URN:NBN:fi:jyu-201903071768
publishDate 2005
publisher_txtF_mv Duke University Press
reviewstatus_txtF peerReviewed
rights_txtF In Copyright
series Illinois Journal of Mathematics
seuranta_id_txt_mv jyu_15_0
seuranta_label_txtF_mv Matematiikka Mathematics
seuranta_txtF_mv MAT
spellingShingle Surface families and boundary behavior of quasiregular mappings Rajala, Kai quasiregular mappings Illinois Journal of Mathematics
subject_count_txtF 1
thumbnail https://jyx.jyu.fi/bitstreams/19d90498-8822-4c63-9ecf-3841b9d7fda4/download.jpg?sequence=99
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
yso_count_txtF 0