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On a class of sublinear operators in variable exponent Morrey-type spaces

dc.contributor.authorRafeiro, H.
dc.contributor.authorSamko, Stefan G.
dc.date.accessioned2021-09-08T10:57:54Z
dc.date.available2021-09-08T10:57:54Z
dc.date.issued2021-05
dc.description.abstractFor a class of sublinear operators, we find conditions on the variable exponent Morrey-type space L-p(.),L-q,L-omega(.,L-.)(R-n) ensuring the boundedness in this space. A priori assumptions on this class are that the operators are bounded in L-p(.)(R-n) and satisfy some size condition. This class includes in particular the maximal operator, singular operators with the standard kernel, and the Hardy operators. Wealso prove embedding of variable exponent Morrey-type spaces into weighted L-p(.)-spaces.
dc.description.sponsorshipUnited Arab Emirates University, Al Ain, United Arab Emirates [G00002994]; Russian Foundation for Basic ResearchRussian Foundation for Basic Research (RFBR) [19-01-00223, 20-51-46003]; TUBITAKTurkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) [20-51-46003]
dc.identifier.doi10.1080/17476933.2021.1924156
dc.identifier.issn1747-6933
dc.identifier.urihttp://hdl.handle.net/10400.1/16968
dc.language.isoeng
dc.peerreviewedyes
dc.publisherTAYLOR & FRANCIS LTD
dc.subjectSublinear operators
dc.subjectMorrey-type spaces
dc.subjectVariable exponent
dc.subject.otherMathematics
dc.titleOn a class of sublinear operators in variable exponent Morrey-type spaces
dc.typejournal article
dspace.entity.typePublication
oaire.citation.titleComplex variables and elliptic equations
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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