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Operators of harmonic analysis in weighted spaces with non-standard growth

2009-04Journal article Open access
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dc.contributor.authorKokilashvili, V. M.
dc.contributor.authorSamko, Stefan
dc.date.accessioned2018-12-07T14:52:33Z
dc.date.available2018-12-07T14:52:33Z
dc.date.issued2009-04
dc.description.abstractLast years there was increasing an interest to the so-called function spaces with non-standard growth, known also as variable exponent Lebesgue spaces. For weighted such spaces on homogeneous spaces, we develop a certain variant of Rubio de Francia's extrapolation theorem. This extrapolation theorem is applied to obtain the boundedness in such spaces of various operators of harmonic analysis, such as maximal and singular operators, potential operators, Fourier multipliers, dominants of partial sums of trigonometric Fourier series and others, in weighted Lebesgue spaces with variable exponent. There are also given their vector-valued analogues. (C) 2008 Elsevier Inc. All rights reserved.
dc.description.sponsorshipINTAS [06-1000017-8792]; Center CEMAT, Instituto Superior Tecnico, Lisbon, Portugal
dc.description.versioninfo:eu-repo/semantics/publishedVersion
dc.identifier.doi10.1016/j.jmaa.2008.06.056
dc.identifier.issn0022-247X
dc.identifier.issn1096-0813
dc.identifier.urihttp://hdl.handle.net/10400.1/11116
dc.language.isoeng
dc.peerreviewedyes
dc.publisherAcademic Press Inc Elsevier Science
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectGeneralized Lebesgue Spaces
dc.subjectL-P spaces
dc.subjectVariable exponent
dc.subjectMaximal-function
dc.subjectSingular-integrals
dc.subjectSobolev spaces
dc.subjectPseudodifferential-operators
dc.subjectNorm inequality
dc.subjectL-P(Center-Dot)
dc.subjectExtrapolation
dc.titleOperators of harmonic analysis in weighted spaces with non-standard growth
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage34
oaire.citation.issue1
oaire.citation.startPage15
oaire.citation.titleJournal of Mathematical Analysis and Applications
oaire.citation.volume352
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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