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Embeddings of variable Hajlasz-Sobolev spaces into holder spaces of variable order

2009-05Journal article Open access
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dc.contributor.authorAlmeida, Alexandre
dc.contributor.authorSamko, Stefan
dc.date.accessioned2018-12-07T14:57:51Z
dc.date.available2018-12-07T14:57:51Z
dc.date.issued2009-05
dc.description.abstractPointwise estimates in variable exponent Sobolev spaces on quasi-metric measure spaces are investigated. Based on such estimates, Sobolev embeddings into Holder spaces with variable order are obtained. This extends some known results to the variable exponent setting. (C) 2008 Elsevier Inc. All rights reserved.
dc.description.sponsorshipINTAS [06-1000017-8792]
dc.description.versioninfo:eu-repo/semantics/publishedVersion
dc.identifier.doi10.1016/j.jmaa.2008.12.034
dc.identifier.issn0022-247X
dc.identifier.urihttp://hdl.handle.net/10400.1/11733
dc.language.isoeng
dc.peerreviewedyes
dc.publisherAcademic Press Inc Elsevier Science
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectMetric-spaces
dc.subjectPointwise inequalities
dc.subjectHomogeneous type
dc.subjectExponent
dc.subjectPotentials
dc.subjectOperators
dc.subjectLebesgue
dc.titleEmbeddings of variable Hajlasz-Sobolev spaces into holder spaces of variable order
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage496
oaire.citation.issue2
oaire.citation.startPage489
oaire.citation.titleJournal of Mathematical Analysis and Applications
oaire.citation.volume353
person.familyNameSamko
person.givenNameStefan
person.identifier.orcid0000-0002-8022-2863
person.identifier.ridM-3726-2013
person.identifier.scopus-author-id6603416048
rcaap.rightsopenAccess
rcaap.typearticle
relation.isAuthorOfPublication7c853bfc-1d1b-4bd0-9b94-1005fafbd6a4
relation.isAuthorOfPublication.latestForDiscovery7c853bfc-1d1b-4bd0-9b94-1005fafbd6a4

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