Embedding Relations Between Weighted Complementary Local Morrey-Type Spaces And Weighted Local Morrey-Type Spaces

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dc.contributor.authorGogatishvili, A.
dc.contributor.authorMustafayev, R. Ch.
dc.contributor.authorUnver, T.
dc.date.accessioned2020-06-25T18:23:30Z
dc.date.available2020-06-25T18:23:30Z
dc.date.issued2017
dc.departmentKırıkkale Üniversitesi
dc.descriptionGogatishvili, Amiran/0000-0003-3459-0355; Yildiz, Tugce Unver/0000-0003-0414-8400; Unver Yildiz, Tugce/0000-0003-0414-8400; Gogatishvili, Amiran/0000-0003-3459-0355; Mustafayev, Rza/0000-0002-2806-9646
dc.description.abstractIn this paper embedding relations between weighted complementary local Morreytype spaces (LMp theta,omega)-L-c(R-n, v) and weighted local Morrey-type spaces L LMp theta,omega(R-n, v) are characterized. In particular, two-sided estimates of the optimal constant c in the inequality (integral(infinity)(0) (integral(B(0,t)) f (x)(p2) v(2)(x)dx)(q2/p2) u(2)(t) dt)(1/q2) <= c (integral(infinity)(0)(integral(cB(0,t)) f (x)(p1) v(1)(x) dx)(q1/p1) u(1)(t) dt)(1/q1), f >= 0 are obtained, where p(1), p(2), q(1), q(2) is an element of (0, infinity), p(2) <= q(2) and u(1), u(2) and v(1), v(2) are weights on (0,infinity) and R-n, respectively. The proof is based on the combination of the duality techniques with estimates of optimal constants of the embedding relations between weighted local Morrey-type and complementary local Morrey-type spaces and weighted Lebesgue spaces, which allows to reduce the problem to using of the known Hardy-type inequalities.en_US
dc.description.sponsorshipGrant Agency of the Czech RepublicGrant Agency of the Czech Republic [P201-13-14743S]; RVO [67985840]; Shota Rustaveli National Science Foundation [DI/9/5-100/13]en_US
dc.description.sponsorshipThe research of A. Gogatishvili was partially supported by the grant P201-13-14743S of the Grant Agency of the Czech Republic and RVO: 67985840 and by Shota Rustaveli National Science Foundation, grant no. DI/9/5-100/13 ( Function spaces, weighted inequalities for integral operators and problems of summability of Fourier series).en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.endpage49en_US
dc.identifier.issn2077-9879
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85020912322
dc.identifier.scopusqualityQ2
dc.identifier.startpage34en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12587/7118
dc.identifier.volume8en_US
dc.identifier.wosWOS:000411744800003
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherL N Gumilyov Eurasian Natl Univen_US
dc.relation.ispartofEurasian Mathematical Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectlocal Morrey-type spacesen_US
dc.subjectembeddingsen_US
dc.subjectiterated Hardy inequalitiesen_US
dc.titleEmbedding Relations Between Weighted Complementary Local Morrey-Type Spaces And Weighted Local Morrey-Type Spacesen_US
dc.typeArticle

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