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

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dc.contributor.authorAlabalik, Ayşegül Çelik
dc.contributor.authorAlmeida, Alexandre
dc.contributor.authorSamko, Stefan G.
dc.date.accessioned2021-07-02T07:45:20Z
dc.date.available2021-07-02T07:45:20Z
dc.date.issued2020en_US
dc.departmentDicle Üniversitesi, Fen Bilimleri Enstitüsü, Matematik Ana Bilim Dalıen_US
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 C0∞(Rn) 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.en_US
dc.identifier.citationAlabalik, A. Ç., Almeida, A. ve Samko, S. G. (2020). On the invariance of certain vanishing subspaces of Morrey spaces with respect to some classical operators. Banach Journal of Mathematical Analysis, 14(3), 987-1000.en_US
dc.identifier.doi10.1007/s43037-019-00049-7
dc.identifier.endpage1000en_US
dc.identifier.issn1735-8787
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85079702867
dc.identifier.scopusqualityQ1
dc.identifier.startpage987en_US
dc.identifier.urihttps://link.springer.com/article/10.1007/s43037-019-00049-7
dc.identifier.urihttps://hdl.handle.net/11468/7201
dc.identifier.volume14en_US
dc.identifier.wosWOS:000522978200003
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorAlabalik, Ayşegül Çelik
dc.language.isoenen_US
dc.publisherBirkhauseren_US
dc.relation.ispartofBanach Journal of Mathematical Analysis
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHardy operatorsen_US
dc.subjectMaximal functionsen_US
dc.subjectMorrey spacesen_US
dc.subjectPotential operatorsen_US
dc.subjectSingular operatorsen_US
dc.subjectVanishing propertiesen_US
dc.titleOn the invariance of certain vanishing subspaces of Morrey spaces with respect to some classical operatorsen_US
dc.titleOn the invariance of certain vanishing subspaces of Morrey spaces with respect to some classical operators
dc.typeArticleen_US

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