dc.contributor.author | Guliyev V.S. | |
dc.contributor.author | Hasanov J.J. | |
dc.contributor.author | Samko S.G. | |
dc.date.accessioned | 2019-11-24T20:57:51Z | |
dc.date.available | 2019-11-24T20:57:51Z | |
dc.date.issued | 2010 | |
dc.identifier.issn | 1072-3374 | |
dc.identifier.uri | https://dx.doi.org/10.1007/s10958-010-0095-7 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12513/2878 | |
dc.description.abstract | We consider generalized Morrey type spaces Mp(·), ?(·), ?(·) (?)with variable exponents p(x), ?(r) and a general function ?(x, r) defining a Morrey type norm. In the case of bounded sets ? ? Rn, we prove the boundedness of the Hardy-Littlewood maximal operator and Calderón-Zygmund singular integral operators with standard kernel. We prove a Sobolev-Adams type embedding theorem Mp(·), ?1(·), ?1(·) (?) › Mp(·), ?2(·), ?2(·) (?) for the potential type operator I?(·) of variable order. In all the cases, we do not impose any monotonicity type conditions on ?(x, r) with respect to r. Bibliography: 40 titles. © 2010 Springer Science+Business Media, Inc. | en_US |
dc.description.sponsorship | Firat University Scientific Research Projects Management Unit 1001-2010-2-53666 British Association for Psychopharmacology --The research of V. S. Guliyev and S. G. Samko was partially supported by the scientific and technological research council of Turkey (grant No. 1001-2010-2-53666 (TUBITAK Project)). The research of V. S. Guliyev was supported by 2010-Ahi Evran University Scientific Research Projects (BAP). -- | en_US |
dc.language.iso | eng | en_US |
dc.relation.isversionof | 10.1007/s10958-010-0095-7 | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.title | Boundedness of maximal, potential type, and singular integral operators in the generalized variable exponent Morrey type spaces | en_US |
dc.type | article | en_US |
dc.relation.journal | Journal of Mathematical Sciences | en_US |
dc.contributor.department | Kırşehir Ahi Evran Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.identifier.volume | 170 | en_US |
dc.identifier.issue | 4 | en_US |
dc.identifier.startpage | 423 | en_US |
dc.identifier.endpage | 443 | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |