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Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz-Morrey spaces of the third kind

dc.contributor.authorDeringoz, Fatih
dc.contributor.authorGuliyev, Vagif S.
dc.contributor.authorNakai, Eiichi
dc.contributor.authorSawano, Yoshihiro
dc.contributor.authorShi, Minglei
dc.date.accessioned2019-11-24T20:39:12Z
dc.date.available2019-11-24T20:39:12Z
dc.date.issued2019
dc.identifier.issn1385-1292
dc.identifier.issn1572-9281
dc.identifier.urihttps://dx.doi.org/10.1007/s11117-018-0635-9
dc.identifier.urihttps://hdl.handle.net/20.500.12513/2644
dc.descriptionWOS: 000474430300014en_US
dc.description.abstractIn the present paper, we will characterize the boundedness of the generalized fractional integral operators I rho and the generalized fractional maximal operators M rho on Orlicz spaces, respectively. Moreover, we will give a characterization for the Spanne-type boundedness and the Adams-type boundedness of the operators M rho and I rho on generalized Orlicz-Morrey spaces, respectively. Also we give criteria for the weak versions of the Spanne-type boundedness and the Adams-type boundedness of the operators M rho and I rho on generalized Orlicz-Morrey spaces.en_US
dc.description.sponsorshipAhi Evran University Scientific Research ProjectAhi Evran University [FEF.A4.18.019]; Ministry of Education and Science of theRussian FederationMinistry of Education and Science, Russian Federation [02.a03.21.0008]; Japan Society for the Promotion of ScienceMinistry of Education, Culture, Sports, Science and Technology, Japan (MEXT)Japan Society for the Promotion of Science [15H03621, 16K05209]; Peoples Friendship University of Russia; 1st Azerbaijan-Russia Joint Grant Competition [EIF-BGM-4-RFTF-1/2017-21/01/1]en_US
dc.description.sponsorshipThe research of F. Deringoz was partially supported by the Grant of Ahi Evran University Scientific Research Project (FEF.A4.18.019). The research of V. Guliyev was partially supported by the Grant of 1st Azerbaijan-Russia Joint Grant Competition (Agreement Number No. EIF-BGM-4-RFTF-1/2017-21/01/1) and by the Ministry of Education and Science of theRussian Federation (theAgreementNo. 02.a03.21.0008). Eiichi Nakai was supported by Grant-in-Aid for Scientific Research (B), No. 15H03621, Japan Society for the Promotion of Science. Yoshihiro Sawano was supported by Grant-in-Aid for Scientific Research (C) (16K05209), the Japan Society for the Promotion of Science and by Peoples Friendship University of Russia.en_US
dc.language.isoengen_US
dc.publisherSPRINGERen_US
dc.relation.isversionof10.1007/s11117-018-0635-9en_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGeneralized fractional maximal functionen_US
dc.subjectGeneralized fractional integralen_US
dc.subjectOrlicz spacesen_US
dc.subjectGeneralized Orlicz-Morrey spacesen_US
dc.subject42B20en_US
dc.subject42B25en_US
dc.subject42B35en_US
dc.subject46E30en_US
dc.titleGeneralized fractional maximal and integral operators on Orlicz and generalized Orlicz-Morrey spaces of the third kinden_US
dc.typearticleen_US
dc.relation.journalPOSITIVITYen_US
dc.contributor.departmentKırşehir Ahi Evran Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.identifier.volume23en_US
dc.identifier.issue3en_US
dc.identifier.startpage727en_US
dc.identifier.endpage757en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US


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