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Grand lebesgue spaces with mixed local and global aggrandization and the maximal and singular operators

dc.contributor.authorRafeiro, H.
dc.contributor.authorSamko, Stefan
dc.contributor.authorUmarkhadzhiev, S.
dc.date.accessioned2023-12-07T11:52:18Z
dc.date.available2023-12-07T11:52:18Z
dc.date.issued2023
dc.description.abstractThe approach to "locally" aggrandize Lebesgue spaces, previously suggested by the authors and based on the notion of "aggrandizer", is combined with the usual "global" aggrandization. We study properties of such spaces including embeddings, dependence of the choice of the aggrandizer and, in particular, we discuss the question when these spaces are not new, coinciding with globally aggrandized spaces, and when they proved to be new. We study the boundedness of the maximal, singular, and maximal singular operators in the introduced spaces.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1007/s10476-023-0243-1pt_PT
dc.identifier.issn0133-3852
dc.identifier.urihttp://hdl.handle.net/10400.1/20195
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherSpringerpt_PT
dc.subjectGrand lebesgue spacept_PT
dc.subjectMaximal functionpt_PT
dc.subjectSingular integralpt_PT
dc.subjectMaximal singular integralpt_PT
dc.titleGrand lebesgue spaces with mixed local and global aggrandization and the maximal and singular operatorspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage1106pt_PT
oaire.citation.issue4pt_PT
oaire.citation.startPage1087pt_PT
oaire.citation.titleAnalysis Mathematicapt_PT
oaire.citation.volume49pt_PT
person.familyNameSamko
person.givenNameStefan
person.identifier.orcid0000-0002-8022-2863
person.identifier.ridM-3726-2013
person.identifier.scopus-author-id6603416048
rcaap.rightsrestrictedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication7c853bfc-1d1b-4bd0-9b94-1005fafbd6a4
relation.isAuthorOfPublication.latestForDiscovery7c853bfc-1d1b-4bd0-9b94-1005fafbd6a4

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