dc.contributor.author | Koskela, Pekka | |
dc.contributor.author | Zhang, Yi | |
dc.contributor.author | Zhou, Yuan | |
dc.date.accessioned | 2017-11-30T09:37:56Z | |
dc.date.available | 2017-11-30T09:37:56Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Koskela, P., Zhang, Y., & Zhou, Y. (2017). Morrey–Sobolev Extension Domains. <i>Journal of Geometric Analysis</i>, <i>27</i>(2), 1413-1434. <a href="https://doi.org/10.1007/s12220-016-9724-9" target="_blank">https://doi.org/10.1007/s12220-016-9724-9</a> | |
dc.identifier.other | CONVID_26163532 | |
dc.identifier.other | TUTKAID_70900 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/56054 | |
dc.description.abstract | We show that every uniform domain of R
n with n ≥ 2 is a Morrey-Sobolev
W 1, p-extension domain for all p ∈ [1, n), and moreover, that this result is essentially best
possible for each p ∈ [1, n) in the sense that, given a simply connected planar domain or
a domain of R
n with n ≥ 3 that is quasiconformal equivalent to a uniform domain, if it
is a W 1, p-extension domain, then it must be uniform. | |
dc.language.iso | eng | |
dc.publisher | Springer New York LLC | |
dc.relation.ispartofseries | Journal of Geometric Analysis | |
dc.subject.other | extensions | |
dc.subject.other | Morrey–Sobolev space | |
dc.subject.other | uniform domain | |
dc.title | Morrey–Sobolev Extension Domains | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-201711294413 | |
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 | 2017-11-29T10:15:04Z | |
dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
dc.description.reviewstatus | peerReviewed | |
dc.format.pagerange | 1413-1434 | |
dc.relation.issn | 1050-6926 | |
dc.relation.numberinseries | 2 | |
dc.relation.volume | 27 | |
dc.type.version | acceptedVersion | |
dc.rights.copyright | © Mathematica Josephina, Inc. 2016. This is a final draft version of an article whose final and definitive form has been published by Springer. Published in this repository with the kind permission of the publisher. | |
dc.rights.accesslevel | openAccess | fi |
dc.relation.doi | 10.1007/s12220-016-9724-9 | |
dc.type.okm | A1 | |