| dc.contributor.author | Guliyev V.S. | |
| dc.contributor.author | Eroglu A. | |
| dc.contributor.author | Mammadov Y.Y. | |
| dc.date.accessioned | 2019-11-24T20:57:49Z | |
| dc.date.available | 2019-11-24T20:57:49Z | |
| dc.date.issued | 2013 | |
| dc.identifier.issn | 1072-3374 | |
| dc.identifier.uri | https://dx.doi.org/10.1007/s10958-013-1193-0 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12513/2864 | |
| dc.description.abstract | We 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. | en_US |
| dc.description.sponsorship | EIF-2010-1, -40/06-1 110T695 Firat University Scientific Research Projects Management Unit: PYO-FEN 4001.12.18 --The 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). -- | en_US |
| dc.language.iso | eng | en_US |
| dc.relation.isversionof | 10.1007/s10958-013-1193-0 | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.title | Riesz potential in generalized Morrey spaces on the Heisenberg group | en_US |
| dc.type | article | en_US |
| dc.relation.journal | Journal of Mathematical Sciences (United States) | en_US |
| dc.contributor.department | Kırşehir Ahi Evran Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.identifier.volume | 189 | en_US |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.startpage | 365 | en_US |
| dc.identifier.endpage | 382 | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
