Fuglede's theorem in generalized Orlicz-Sobolev spaces

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dc.contributor.authorJuusti Jonne
dc.contributor.organizationfi=matematiikka|en=Mathematics|
dc.contributor.organization-code1.2.246.10.2458963.20.41687507875
dc.converis.publication-id68961132
dc.converis.urlhttps://research.utu.fi/converis/portal/Publication/68961132
dc.date.accessioned2022-10-28T13:05:48Z
dc.date.available2022-10-28T13:05:48Z
dc.description.abstractIn this paper, we show that Orlicz-Sobolev spaces W-1,W-phi(Omega) can be characterized with the ACL- and ACC-characterizations. ACL stands for absolutely continuous on lines and ACC for absolutely continuous on curves. Our results hold under the assumptions that C-1(Omega) functions are dense in W-1,W-phi(Omega), and phi(x, beta) >= 1 for some beta > 0 and almost every x epsilon Omega. The results are new even in the special cases of Orlicz and double phase growth.
dc.format.pagerange299
dc.format.pagerange312
dc.identifier.eissn2038-4815
dc.identifier.jour-issn0010-0757
dc.identifier.olddbid179668
dc.identifier.oldhandle10024/162762
dc.identifier.urihttps://www.utupub.fi/handle/11111/37364
dc.identifier.urlhttps://doi.org/10.1007/s13348-021-00347-0
dc.identifier.urnURN:NBN:fi-fe2022020818082
dc.language.isoen
dc.okm.affiliatedauthorTalvitähti, Hopea
dc.okm.discipline111 Mathematicsen_GB
dc.okm.discipline111 Matematiikkafi_FI
dc.okm.internationalcopublicationnot an international co-publication
dc.okm.internationalityInternational publication
dc.okm.typeA1 ScientificArticle
dc.publisherSpringer
dc.publisher.countrySpainen_GB
dc.publisher.countryEspanjafi_FI
dc.publisher.country-codeES
dc.relation.doi10.1007/s13348-021-00347-0
dc.relation.ispartofjournalCollectanea Mathematica
dc.relation.volume74
dc.source.identifierhttps://www.utupub.fi/handle/10024/162762
dc.titleFuglede's theorem in generalized Orlicz-Sobolev spaces
dc.year.issued2023

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