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Preservation of certain vanishing properties of generalized Morrey spaces by some classical operators

2020-11Journal article Restricted
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dc.contributor.authorAlabalik, Aysegul C.
dc.contributor.authorAlmeida, Alexandre
dc.contributor.authorSamko, Stefan
dc.date.accessioned2021-06-24T11:35:55Z
dc.date.available2021-06-24T11:35:55Z
dc.date.issued2020-11
dc.description.abstractWe show that certain vanishing properties defining closed subspaces of generalized Morrey spaces are preserved under the action of various classical operators of harmonic analysis, such as maximal operators, singular-type operators, Hardy operators, and fractional integral operators. Those vanishing subspaces were recently used to deal with the delicate problem on the description of the closure of nice functions in Morrey norm.
dc.description.sponsorshipFundacao para a Ciencia e a TecnologiaPortuguese Foundation for Science and TechnologyEuropean Commission [UID/MAT/04106/2019]
dc.description.sponsorshipRussian Foundation for Basic ResearchRussian Foundation for Basic Research (RFBR) [19-01-00223, 18-01-00094-a]
dc.description.versioninfo:eu-repo/semantics/publishedVersion
dc.identifier.doi10.1002/mma.6235
dc.identifier.issn0170-4214
dc.identifier.urihttp://hdl.handle.net/10400.1/16573
dc.language.isoeng
dc.peerreviewedyes
dc.publisherWiley
dc.relationCenter for Research and Development in Mathematics and Applications
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectGeneralized Morrey spaces
dc.subjectHardy operators
dc.subjectMaximal functions
dc.subjectPotential operators
dc.subjectSingular-type operators
dc.subjectVanishing properties
dc.subject.otherMathematics
dc.titlePreservation of certain vanishing properties of generalized Morrey spaces by some classical operators
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCenter for Research and Development in Mathematics and Applications
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F04106%2F2019/PT
oaire.citation.endPage9386
oaire.citation.issue16
oaire.citation.startPage9375
oaire.citation.titleMathematical Methods in The Applied Sciences
oaire.citation.volume43
oaire.fundingStream6817 - DCRRNI ID
person.familyNameSamko
person.givenNameStefan
person.identifier.orcid0000-0002-8022-2863
person.identifier.ridM-3726-2013
person.identifier.scopus-author-id6603416048
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsrestrictedAccess
rcaap.typearticle
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relation.isProjectOfPublication.latestForDiscoveryc692178a-8e55-4d26-8a80-bfe15959e131

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