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dc.contributor.authorGuliyev, Vagif S.
dc.contributor.authorAkbulut, Ali
dc.descriptionWOS: 000434090900002en_US
dc.description.abstractLet L = -Delta + V be a Schrodinger operator on R-n, where n >= 3 and the nonnegative potential V belongs to the reverse Holder class RHq1 for some q(1) > n/2. Let b belong to a new Campanato space Lambda(theta)(nu) (rho) and I-beta(L) be the fractional integral operator associated with L. In this paper, we study the boundedness of the commutators [b, I-beta(L)] with b is an element of Lambda(theta)(nu) (rho) on local generalized Morrey spaces LM rho,phi alpha,V,{x0} generalized Morrey spaces M-rho,phi(alpha,V) and vanishing generalized Morrey spaces VM rho,phi alpha,V associated with Schrodinger operator, respectively. When b belongs to Lambda(theta)(nu) (rho) with theta > 0, 0 < nu < 1 and (phi(1),phi(2)) satisfies some conditions, we show that the commutator operator [b,I-beta(L)] are bounded from LM rho,phi 1 alpha,V,{x0} to LM rho,phi 2 alpha,V,{x0} from LMq,phi 1 alpha,V to VMq,phi 2 alpha,V and from VM rho,phi 1 alpha,V to VM rho,phi 2 alpha,V, 1/p - 1/q = ( beta +nu)/n.en_US
dc.description.sponsorshipAhi Evran University Scientific Research ProjectAhi Evran University [FEF.A4.17.020]; 1st Azerbaijan-Russia Joint Grant Competition [18-51-06005]; Ministry of Education and Science of the Russian FederationMinistry of Education and Science, Russian Federation [02.a03.21.0008]en_US
dc.description.sponsorshipThe research of A. Akbulut was partially supported by the grant of Ahi Evran University Scientific Research Project (FEF.A4.17.020). The research of V.S. Guliyev was partially supported by the grant of Ahi Evran University Scientific Research Project (FEF.A4.17.008), by the grant of 1st Azerbaijan-Russia Joint Grant Competition (the Agreement number No. 18-51-06005) and by the Ministry of Education and Science of the Russian Federation (Agreement number: 02.a03.21.0008).en_US
dc.subjectSchrodinger operatoren_US
dc.subjectFractional integralen_US
dc.subjectLipschitz functionen_US
dc.subjectLocal generalized Morrey spaceen_US
dc.titleCommutator of fractional integral with Lipschitz functions associated with Schrodinger operator on local generalized Morrey spacesen_US
dc.relation.journalBOUNDARY VALUE PROBLEMSen_US
dc.contributor.departmentKırşehir Ahi Evran Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US

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