Some new iterated Hardy-type inequalities: the case θ=1

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dc.contributor.authorGogatishvili, Amiran
dc.contributor.authorMustafayev, Rza
dc.contributor.authorPersson, Lars-Erik
dc.date.accessioned2020-06-25T18:06:57Z
dc.date.available2020-06-25T18:06:57Z
dc.date.issued2013
dc.departmentKırıkkale Üniversitesi
dc.descriptionGogatishvili, Amiran/0000-0003-3459-0355; Gogatishvili, Amiran/0000-0003-3459-0355; Mustafayev, Rza/0000-0002-2806-9646
dc.description.abstractIn this paper we characterize the validity of the Hardy-type inequality parallel to parallel to integral(infinity)(s)h(z)dz parallel to(p,u,(0,t))parallel to(q,w,(0,infinity)) <= c parallel to h parallel to(1,v,(0,infinity)), where 0 < p < infinity, 0 < q <= +infinity, u, w and v are weight functions on (0, infinity). It is pointed out that this characterization can be used to obtain new characterizations for the boundedness between weighted Lebesgue spaces for Hardy-type operators restricted to the cone of monotone functions and for the generalized Stieltjes operator.en_US
dc.description.sponsorshipGrant Agency of the Czech RepublicGrant Agency of the Czech Republic [201/08/0383, P201-13-14743S]; Academy of Sciences of Czech RepublicCzech Academy of Sciences; Scientific and Technological Research Council of TurkeyTurkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK); [RVO: 67985840]en_US
dc.description.sponsorshipWe thank the anonymous referees for his/her remarks, which have improved the final version of this paper. The research of the first author was partly supported by the grants 201/08/0383 and P201-13-14743S of the Grant Agency of the Czech Republic and RVO: 67985840. The research of the first and second authors was partly supported by the joint project between Academy of Sciences of Czech Republic and the Scientific and Technological Research Council of Turkey.en_US
dc.identifier.citationGogatishvili, A., Mustafayev, R. & Persson, LE. Some new iterated Hardy-type inequalities: the case θ=1. J Inequal Appl 2013, 515 (2013).en_US
dc.identifier.doi10.1186/1029-242X-2013-515
dc.identifier.issn1029-242X
dc.identifier.scopus2-s2.0-84897620122
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1186/1029-242X-2013-515
dc.identifier.urihttps://hdl.handle.net/20.500.12587/5421
dc.identifier.wosWOS:000329196000019
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer International Publishing Agen_US
dc.relation.ispartofJournal Of Inequalities And Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectiterated Hardy inequalitiesen_US
dc.subjectdiscretizationen_US
dc.subjectweightsen_US
dc.titleSome new iterated Hardy-type inequalities: the case θ=1en_US
dc.typeArticle

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