Embeddings Between Weighted Copson And Cesaro Function Spaces

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dc.contributor.authorGogatishvili, Amiran
dc.contributor.authorMustafayev, Rza
dc.contributor.authorUnver, Tugce
dc.date.accessioned2020-06-25T18:22:35Z
dc.date.available2020-06-25T18:22:35Z
dc.date.issued2017
dc.departmentKırıkkale Üniversitesi
dc.descriptionGogatishvili, Amiran/0000-0003-3459-0355; Yildiz, Tugce Unver/0000-0003-0414-8400; Gogatishvili, Amiran/0000-0003-3459-0355; Mustafayev, Rza/0000-0002-2806-9646
dc.description.abstractIn this paper, characterizations of the embeddings between weighted Copson function spaces Cop(p1,q1)(u(1),v(1)) and weighted Cesaro function spaces Ces(p2,q2) (u(2) , v(2)) are given. In particular, two-sided estimates of the optimal constant c in the inequality (integral(infinity)(0) (integral(t)(0) f(tau)(p2)v2(tau)d tau)(q2/p2) u2(t)dt)(1/q2)& para;& para;<= c(integral(infinity)(0) (integral(t)infinity f(tau)(p1)v1(tau)d tau)(q1/p1) u1(t)dt)(1/q1), where p(1), p(2), q(1), q(2) is an element of (0,infinity), p(2) <= q(2) and u(1), u(2), v(1), v(2) are weights on (0,infinity) are obtained. The most innovative part consists of the fact that possibly different parameters p1 and p2 and possibly different inner weights v(1) and v(2) are allowed. The proof is based on the combination of duality techniques with estimates of optimal constants of the embeddings between weighted Cesaro and Copson spaces and weighted Lebesgue spaces, which reduce the problem to the solutions of iterated Hardy-type inequalities.en_US
dc.description.sponsorshipGrant Agency of the Czech RepublicGrant Agency of the Czech Republic [GA13-14743S]; Czech Academy of SciencesCzech Academy of Sciences; Shota Rustaveli National Science Foundation [31/48, DI/9/5-100/13]; Scientific and Technological Research Council of TurkeyTurkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK); [RVO: 67985840]en_US
dc.description.sponsorshipThe research of A. Gogatishvili was partly supported by the grants GA13-14743S of the Grant Agency of the Czech Republic and RVO: 67985840, by Shota Rustaveli National Science Foundation grants no. 31/48 (Operators in some function spaces and their applications in Fourier Analysis) and no. DI/9/5-100/13 (Function spaces, weighted inequalities for integral operators and problems of summability of Fourier series). The research of all authors was partly supported by the joint project between the Czech Academy of Sciences and the Scientific and Technological Research Council of Turkey.en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.doi10.21136/CMJ.2017.0424-16
dc.identifier.endpage1132en_US
dc.identifier.issn0011-4642
dc.identifier.issn1572-9141
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85031500261
dc.identifier.scopusqualityQ3
dc.identifier.startpage1105en_US
dc.identifier.urihttps://doi.org/10.21136/CMJ.2017.0424-16
dc.identifier.urihttps://hdl.handle.net/20.500.12587/6821
dc.identifier.volume67en_US
dc.identifier.wosWOS:000416445500016
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Heidelbergen_US
dc.relation.ispartofCzechoslovak Mathematical Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCesaro and Copson function spacesen_US
dc.subjectembeddingen_US
dc.subjectiterated Hardy inequalitiesen_US
dc.titleEmbeddings Between Weighted Copson And Cesaro Function Spacesen_US
dc.typeArticle

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