Repository logo
 
Publication

On the invariance of certain vanishing subspaces of Morrey spaces with respect to some classical operators

2020-07Journal article Open access
Simple item page
dc.contributor.authorAlabalik, Aysegul C.
dc.contributor.authorAlmeida, Alexandre
dc.contributor.authorSamko, Stefan
dc.date.accessioned2021-06-24T11:36:00Z
dc.date.available2021-06-24T11:36:00Z
dc.date.issued2020-07
dc.description.abstractWe consider subspaces of Morrey spaces defined in terms of various vanishing properties of functions. Such subspaces were recently used to describe the closure of C-0(infinity) (R-n) in Morrey norm. We show that these subspaces are invariant with respect to some classical operators of harmonic analysis, such as the Hardy-Littlewood maximal operator, singular type operators and Hardy operators. We also show that the vanishing properties defining those subspaces are preserved under the action of Riesz potential operators and fractional maximal operators.
dc.description.sponsorshipCIDMA (Center for Research and Development in Mathematics and Applications)
dc.description.sponsorshipFCT (Portuguese Foundation for Science and Technology)Portuguese Foundation for Science and Technology [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/submittedVersion
dc.identifier.doi10.1007/s43037-019-00049-7
dc.identifier.issn2662-2033
dc.identifier.urihttp://hdl.handle.net/10400.1/16600
dc.language.isoeng
dc.peerreviewedno
dc.publisherSpringer
dc.relationCenter for Research and Development in Mathematics and Applications
dc.subjectMorrey spaces
dc.subjectVanishing properties
dc.subjectMaximal functions
dc.subjectPotential operators
dc.subjectSingular operators
dc.subjectHardy operators
dc.subject.otherMathematics
dc.titleOn the invariance of certain vanishing subspaces of Morrey spaces with respect to 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.endPage1000
oaire.citation.issue3
oaire.citation.startPage987
oaire.citation.titleBanach Journal of Mathematical Analysis
oaire.citation.volume14
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.rightsopenAccess
rcaap.typearticle
relation.isAuthorOfPublication7c853bfc-1d1b-4bd0-9b94-1005fafbd6a4
relation.isAuthorOfPublication.latestForDiscovery7c853bfc-1d1b-4bd0-9b94-1005fafbd6a4
relation.isProjectOfPublicationc692178a-8e55-4d26-8a80-bfe15959e131
relation.isProjectOfPublication.latestForDiscoveryc692178a-8e55-4d26-8a80-bfe15959e131

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
On the invariance of certain vanishing subspaces of Morrey spaces with respect to some classical operators.pdf
Size:
390.37 KB
Format:
Adobe Portable Document Format
Download

Collections

FCT2-Artigos (em revistas ou actas indexadas)