Absolutely minimizing Lipschitz extensions on a metric space
| dc.contributor.author | Juutinen, Petri | |
| dc.date.accessioned | 2024-03-21T10:16:36Z | |
| dc.date.available | 2024-03-21T10:16:36Z | |
| dc.date.issued | 2002 | |
| dc.identifier.citation | Juutinen, P. (2002). Absolutely minimizing Lipschitz extensions on a metric space. <i>Annales Academiae Scientiarum Fennicae. Mathematica</i>, <i>27</i>, 57-67. <a href="https://www.acadsci.fi/mathematica/Vol27/juutinen.html" target="_blank">https://www.acadsci.fi/mathematica/Vol27/juutinen.html</a> | |
| dc.identifier.other | CONVID_29081672 | |
| dc.identifier.other | TUTKAID_8563 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/94010 | |
| dc.description.abstract | In this note, we consider the problem of finding an absolutely minimizing Lipschitz extension of a given function defined in a subset of an arbitrary metric space. Using a version of Perron’s method due to Aronsson, we prove the existence under the assumption that the space is a separable length space. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Suomalainen tiedeakatemia | |
| dc.relation.ispartofseries | Annales Academiae Scientiarum Fennicae. Mathematica | |
| dc.relation.uri | https://www.acadsci.fi/mathematica/Vol27/juutinen.html | |
| dc.rights | In Copyright | |
| dc.subject.other | absoluuttiset Lipschitz jatkot | |
| dc.title | Absolutely minimizing Lipschitz extensions on a metric space | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202403212554 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | en |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
| dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 57-67 | |
| dc.relation.issn | 1239-629X | |
| dc.relation.volume | 27 | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © 2002 Suomalainen tiedeakatemia | |
| dc.rights.accesslevel | openAccess | fi |
| dc.subject.yso | metriset avaruudet | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p27753 | |
| dc.rights.url | http://rightsstatements.org/page/InC/1.0/?language=en | |
| dc.type.okm | A1 |
Files in this item
This item appears in the following Collection(s)
Except where otherwise noted, this item's license is described as In Copyright