Radon–Nikodym Property and Area Formula for Banach Homogeneous Group Targets
| dc.contributor.author | Magnani, Valentino | |
| dc.contributor.author | Rajala, Tapio | |
| dc.date.accessioned | 2015-08-21T04:52:42Z | |
| dc.date.available | 2016-07-17T21:45:04Z | |
| dc.date.issued | 2014 | |
| dc.identifier.citation | Magnani, V., & Rajala, T. (2014). Radon–Nikodym Property and Area Formula for Banach Homogeneous Group Targets. <i>International Mathematics Research Notices</i>, <i>2014</i>(23), 6399-6430. <a href="https://doi.org/10.1093/imrn/rnt171" target="_blank">https://doi.org/10.1093/imrn/rnt171</a> | |
| dc.identifier.other | CONVID_24022774 | |
| dc.identifier.other | TUTKAID_63903 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/46658 | |
| dc.description.abstract | We prove a Rademacher-type theorem for Lipschitz mappings from a subset of a Carnot group to a Banach homogeneous group, equipped with a suitably weakened Radon-Nikodym property. We provide a metric area formula that applies to these mappings and more generally to all almost everywhere metrically differentiable Lipschitz mappings defined on a Carnot group. | |
| dc.language.iso | eng | |
| dc.publisher | Oxford University Press | |
| dc.relation.ispartofseries | International Mathematics Research Notices | |
| dc.subject.other | Radon-Nikodym property | |
| dc.title | Radon–Nikodym Property and Area Formula for Banach Homogeneous Group Targets | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-201508182695 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | en |
| dc.contributor.oppiaine | Matematiikka | fi |
| dc.contributor.oppiaine | Mathematics | en |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
| dc.date.updated | 2015-08-18T09:15:14Z | |
| dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 6399–6430 | |
| dc.relation.issn | 1073-7928 | |
| dc.relation.numberinseries | 23 | |
| dc.relation.volume | 2014 | |
| dc.type.version | acceptedVersion | |
| dc.rights.copyright | © The Author(s) 2013. This is a final draft version of an article whose final and definitive form has been published by Oxford University Press. Published in this repository with the kind permission of the publisher. | |
| dc.rights.accesslevel | openAccess | fi |
| dc.relation.doi | 10.1093/imrn/rnt171 | |
| dc.type.okm | A1 |
