Fractional integral associated to schrödinger operator on the heisenberg groups in vanishing generalized morrey spaces

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dc.contributor.authorEroglu A.
dc.contributor.authorIsayev F.A.
dc.contributor.authorNamazov F.M.
dc.date.accessioned2019-08-01T13:38:39Z
dc.date.available2019-08-01T13:38:39Z
dc.date.issued2018
dc.departmentNiğde ÖHÜ
dc.description.abstractLet L = -?Hn + V be a Schrödinger operator on the Heisenberg groups Hn, where the nonnegative potential V belongs to the reverse Hölder class RHQ/2 and Q is the homogeneous dimension of Hn. Let b belong to a newBMO?(Hn, ?) space, and let IL ß be the fractional integral operator associated with L. In this paper, we study the boundedness of the operator IL ß and its commutators [b, IL ß ] with b ? BMO?(Hn, ?) on vanishing generalized Morrey spaces VM?,V p,? (Hn) associated with Schrödinger operator. We find the sufficient conditions on the pair (?1, ?2) which ensures the boundedness of the operator IL ß from VM?,V p,?1 (Hn) to LM?,V q,?2 (Hn), 1/p - 1/q = ß/Q. When b belongs to BMO?(Hn, ?) and (?1, ?2) satisfies some conditions, we also show that the commutator operator [b, IL ß ] are bounded from VM?,V p,?1 (Hn) to VM?,V q,?2 (Hn), 1/p - 1/q = ß/Q. © 2018, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.
dc.identifier.endpage62
dc.identifier.issn2306-2193
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85067987376
dc.identifier.scopusqualityQ3
dc.identifier.startpage54
dc.identifier.urihttps://hdl.handle.net/11480/1731
dc.identifier.volume38
dc.indekslendigikaynakScopus
dc.institutionauthor[0-Belirlenecek]
dc.language.isoen
dc.publisherInstitute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan
dc.relation.ispartofTransactions Issue Mathematics, Azerbaijan National Academy of Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectBmo
dc.subjectCommutator
dc.subjectFractional integral
dc.subjectHeisenberg group
dc.subjectSchrödinger operator
dc.subjectVanishing generalized morrey space
dc.titleFractional integral associated to schrödinger operator on the heisenberg groups in vanishing generalized morrey spaces
dc.typeArticle

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