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Vanishing generalized Orlicz-Morrey spaces and fractional maximal operator

2017Journal article Restricted access
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dc.contributor.authorDeringoz, Fatih
dc.contributor.authorGuliyev, Vagif S.
dc.contributor.authorSamko, Stefan
dc.date.accessioned2019-11-20T15:08:03Z
dc.date.available2019-11-20T15:08:03Z
dc.date.issued2017
dc.description.abstractWe find sufficient conditions for the non-triviality of the generalized Orlicz-Morrey spaces M-Phi,M-phi (R-n), and prove the boundedness of the fractional maximal operator and its commutators with BMO-coefficients in vanishing generalized Orlicz-Morrey spaces VM Phi,phi (R-n) including weak versions of these spaces. The main advance in comparison with the existing results is that we manage to obtain conditions for the boundedness not in integral terms but in less restrictive terms of supremal operators involving the Young functions Phi(u), Psi(u) and the function phi(x,r) defining the space. No kind of monotonicity condition on phi(x,r) in r is imposed.
dc.description.sponsorshipAhi Evran University Scientific Research Project [PYO.FEN.4001.14.017]
dc.description.sponsorshipScience Development Foundation under the President of the Republic of Azerbaijan [EIF-2013-9(15)-46/10/1]
dc.description.sponsorshipPresidium Azerbaijan National Academy of Science
dc.description.versioninfo:eu-repo/semantics/publishedVersion
dc.identifier.doi10.5486/PMD.2017.7494
dc.identifier.issn0033-3883
dc.identifier.urihttp://hdl.handle.net/10400.1/13343
dc.language.isoeng
dc.peerreviewedyes
dc.publisherKossuth Lajos Tudomanyegyetem
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectIntegral-Operators
dc.subjectHardy-Spaces
dc.subjectCommutators
dc.subjectBoundedness
dc.titleVanishing generalized Orlicz-Morrey spaces and fractional maximal operator
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage147
oaire.citation.issue01-fev
oaire.citation.startPage125
oaire.citation.titlePublicationes Mathematicae-Debrecen
oaire.citation.volume90
person.familyNameSamko
person.givenNameStefan
person.identifier.orcid0000-0002-8022-2863
person.identifier.ridM-3726-2013
person.identifier.scopus-author-id6603416048
rcaap.rightsrestrictedAccess
rcaap.typearticle
relation.isAuthorOfPublication7c853bfc-1d1b-4bd0-9b94-1005fafbd6a4
relation.isAuthorOfPublication.latestForDiscovery7c853bfc-1d1b-4bd0-9b94-1005fafbd6a4

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