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dc.contributor.authorGuliyev, Vagif S.
dc.contributor.authorAliyev, Seymur S.
dc.contributor.authorKaraman, Turhan
dc.contributor.authorShukurov, Parviz S.
dc.date.accessioned2019-11-24T20:57:43Z
dc.date.available2019-11-24T20:57:43Z
dc.date.issued2011
dc.identifier.issn0378-620X
dc.identifier.issn1420-8989
dc.identifier.urihttps://dx.doi.org/10.1007/s00020-011-1904-1
dc.identifier.urihttps://hdl.handle.net/20.500.12513/2806
dc.descriptionWOS: 000296386900003en_US
dc.description.abstractIn this paper the authors study the boundedness for a large class of sublinear operators T-alpha, alpha is an element of [0, n) generated by Calderon-Zygmund operators (alpha = 0) and generated by Riesz potential operator (alpha > 0) on generalized Morrey spaces M-p,M-phi As an application of the above result, the boundeness of the commutator of sublinear operators T-b,T-alpha,T- alpha.is an element of [0, n) on generalized Morrey spaces is also obtained. In the case b is an element of BMO and T-b,T-alpha is a sublinear operator, we find the sufficient conditions on the pair (phi(1),phi(2)) which ensures the boundedness of the operators T-b,T- alpha, alpha is an element of [0, n) from one generalized Morrey space M-p,M-phi 1 to another M-q,M-phi 2 with 1/p - 1/q = alpha/n. In all the cases the conditions for the boundedness are given in terms of Zygmund-type integral inequalities on (phi(1),phi(2)), which do not assume any assumption on monotonicity of phi(1), phi(2) in r. Conditions of these theorems are satisfied by many important operators in analysis, in particular, Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator.en_US
dc.description.sponsorshipScience Development Foundation [EIF-2010-1(1)-40/06-1]; Scientific and Technological Research Council of Turkey (TUBITAK)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) [110T695]en_US
dc.description.sponsorshipThe research of V. Guliyev was partially supported by the grant of Science Development Foundation under the President of the Republic of Azerbaijan project EIF-2010-1(1)-40/06-1. The research of V. Guliyev and T. Karaman was partially supported by the Scientific and Technological Research Council of Turkey (TUBITAK Project No: 110T695).en_US
dc.language.isoengen_US
dc.publisherSPRINGER BASEL AGen_US
dc.relation.isversionof10.1007/s00020-011-1904-1en_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSublinear operatoren_US
dc.subjectgeneralized Morrey spaceen_US
dc.subjectCalderon-Zygmund operatoren_US
dc.subjectRiesz potential operatoren_US
dc.subjectfractional maximal operatoren_US
dc.subjectcommutatoren_US
dc.subjectBMOen_US
dc.subjectLittlewood-Paley operatoren_US
dc.subjectMarcinkiewicz operatoren_US
dc.subjectBochner-Riesz operatoren_US
dc.titleBoundedness of Sublinear Operators and Commutators on Generalized Morrey Spacesen_US
dc.typearticleen_US
dc.relation.journalINTEGRAL EQUATIONS AND OPERATOR THEORYen_US
dc.contributor.departmentKırşehir Ahi Evran Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.identifier.volume71en_US
dc.identifier.issue3en_US
dc.identifier.startpage327en_US
dc.identifier.endpage355en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US


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