Riesz potential in generalized Morrey spaces on the Heisenberg group

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dc.contributor.authorGuliyev V.S.
dc.contributor.authorEroglu A.
dc.contributor.authorMammadov Y.Y.
dc.date.accessioned2019-08-01T13:38:39Z
dc.date.available2019-08-01T13:38:39Z
dc.date.issued2013
dc.departmentNiğde ÖHÜ
dc.description.abstractWe consider the Riesz potential operator I?, on the Heisenberg group Hn in generalized Morrey spaces Mp,?(Hn) and find conditions for the boundedness of I? as an operator from Mp,?1(Hn) to Mp,?2(Hn), 1 < p < ?, and from Mp,?1(Hn) to a weak Morrey space WM1,?2(Hn). The boundedness conditions are formulated it terms of Zygmund type integral inequalities. Based on the properties of the fundamental solution of the sub-Laplacian on Hn, we prove two Sobolev-Stein embedding theorems for generalized Morrey and Besov-Morrey spaces. Bibliography: 40 titles. © 2013 Springer Science+Business Media New York.
dc.description.sponsorshipFirat University Scientific Research Projects Management Unit
dc.description.sponsorshipThe research of V. S. Guliyev was partially supported by the grant of Science Development Foundation under the President of the Republic of Azerbaijan (project No. EIF-2010-1(1)-40/06-1), by the Scientific and Technological Research Council of Turkey (TUBITAK Project No: 110T695), and by the grant of 2012-Ahi Evran University Scientific Research Projects (PYO-FEN 4001.12.18).
dc.identifier.doi10.1007/s10958-013-1193-0
dc.identifier.endpage382
dc.identifier.issn1072-3374
dc.identifier.issue3
dc.identifier.scopus2-s2.0-84880628840
dc.identifier.scopusqualityQ3
dc.identifier.startpage365
dc.identifier.urihttps://dx.doi.org/10.1007/s10958-013-1193-0
dc.identifier.urihttps://hdl.handle.net/11480/842
dc.identifier.volume189
dc.indekslendigikaynakScopus
dc.institutionauthor[0-Belirlenecek]
dc.language.isoen
dc.relation.ispartofJournal of Mathematical Sciences (United States)
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.titleRiesz potential in generalized Morrey spaces on the Heisenberg group
dc.typeArticle

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