Sufficient conditions for the precompactness of sets in Local Morrey-type spaces

Show simple item record

dc.contributor.author Matin, D.T.
dc.contributor.author Baituyakova, Zh.Zh.
dc.contributor.author Adilkhanov, A.N.
dc.contributor.author Bostanov, B.O.
dc.date.accessioned 2019-03-06T03:56:22Z
dc.date.available 2019-03-06T03:56:22Z
dc.date.issued 2018-12-29
dc.identifier.citation Matin, D.T. Sufficient conditions for the precompactness of sets in Local Morrey-type spaces/D.T. Matin, Zh.Zh. Baituyakova a.e. //Қарағанды универисетінің хабаршысы. Математика сериясы.=Вестник Карагандинского университета. Серия Математика=Bulletin of the Karaganda University. Mathematics Series.-2018.- №4.-Р.54-63. ru_RU
dc.identifier.issn 2518-7929
dc.identifier.uri http://rep.ksu.kz:80//handle/data/4062
dc.description.abstract In this paper we give sufficient conations for the pre-compactness of sets іп local Morrey-type spaces LMpg>w(.) (Rn). For w(r) = r-X, Ө = to, 0 < Л < ^ there follows a known result for the Morrey spaces Mp(Rn). In the case Л = 0 this is the well-known Frechet-Kolmogorov theorem. The pre-compactness of sets іп Morrey spaces was investigated іп the works [1, 2], and іп generalized Morrey spaces Мр“( )(Кп) іп the works [3, 4]. The aim of this paper is to generalize these results to the case of Local Morrey-type spaces LMpe,w(.) (Rn). By using theorem of pre-compactness set in local Morrey-type spaces, compact of operators can be checked in this spaces, since compact operator transfers from bounded set of one space to pre-compact set of another space. In this paper, the conditions of precompactness of sets in local spaces of Morrey type are given in terms of the difference of the function limu^0 supfeS || f (• + u) — f G)||LM e =0. Earlier, the necessary and sufficient conditions for precompactness of sets in local spaces of Morrey type were published in [5], which were given in terms of the mean functions lim sup А8f — f ||L (B(0 r)\B(0 r)) = 0. ru_RU
dc.language.iso other ru_RU
dc.publisher Ye.A.Buketov Karaganda State University Publ. ru_RU
dc.relation.ispartofseries Қарағанды универисетінің хабаршысы. Математика сериясы.=Вестник Карагандинского университета. Серия Математика=Bulletin of the Karaganda University. Mathematics Series.;№ 4(92)/2018
dc.subject compactness ru_RU
dc.subject precompact ru_RU
dc.subject Freche-Kolmogorov theorem ru_RU
dc.subject local Morrey-type spaces ru_RU
dc.title Sufficient conditions for the precompactness of sets in Local Morrey-type spaces ru_RU
dc.title.alternative Локалды Морри типтес кеңістігінде жиынның компактылы болуының жеткілікті шарттары ru_RU
dc.title.alternative Достаточные условия предкомпактности множеств в локальных пространствах типа Морри ru_RU
dc.type Article ru_RU


Files in this item

This item appears in the following Collection(s)

Show simple item record

Search DSpace


Browse

My Account