Characterizations for the fractional integral operators in generalized Morrey spaces on Carnot groups

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dc.contributor.authorEroglu A.
dc.contributor.authorGuliyev V.S.
dc.contributor.authorAzizov J.V.
dc.date.accessioned2019-08-01T13:38:39Z
dc.date.available2019-08-01T13:38:39Z
dc.date.issued2017
dc.departmentNiğde ÖHÜ
dc.description.abstractIn this paper, we study the boundedness of the fractional integral operator I ? on Carnot group G in the generalized Morrey spaces M p, ? (G). We shall give a characterization for the strong and weak type boundedness of I ? on the generalized Morrey spaces, respectively. As applications of the properties of the fundamental solution of sub-Laplacian L on G, we prove two Sobolev–Stein embedding theorems on generalized Morrey spaces in the Carnot group setting. © 2017, Pleiades Publishing, Ltd.
dc.description.sponsorshipIndian National Science Academy
dc.description.sponsorshipThe research of V. S. Guliyev was supported in part by the 2015 grant of the Presidium of the Azerbaijan National Academy of Science and by the Ahi Evran University Scientific Research Project under grant FEF. A3.16.024).
dc.identifier.doi10.1134/S0001434617110116
dc.identifier.endpage734
dc.identifier.issn0001-4346
dc.identifier.issue45448
dc.identifier.scopus2-s2.0-85039457826
dc.identifier.scopusqualityN/A
dc.identifier.startpage722
dc.identifier.urihttps://dx.doi.org/10.1134/S0001434617110116
dc.identifier.urihttps://hdl.handle.net/11480/1773
dc.identifier.volume102
dc.identifier.wosWOS:000418838500011
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthor[0-Belirlenecek]
dc.language.isoen
dc.publisherMaik Nauka-Interperiodica Publishing
dc.relation.ispartofMathematical Notes
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectCarnot group
dc.subjectfractional integral operator
dc.subjectgeneralized Morrey space
dc.titleCharacterizations for the fractional integral operators in generalized Morrey spaces on Carnot groups
dc.typeArticle

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