Weighted Iterated Hardy-Type Inequalities

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dc.contributor.authorGogatishvili, Amiran
dc.contributor.authorMustafayev, Rza Ch.
dc.date.accessioned2020-06-25T18:22:53Z
dc.date.available2020-06-25T18:22:53Z
dc.date.issued2017
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 reduction and equivalence theorems for the boundedness of the composition of a quasilinear operator T with the Hardy and Copson operators in weighted Lebesgue spaces are proved. New equivalence theorems are obtained for the operator T to be bounded in weighted Lebesgue spaces restricted to the cones of monotone functions, which allow to change the cone of non-decreasing functions to the cone of non-increasing functions and vice versa not changing the operator T. New characterizations of the weighted Hardy-type inequalities on the cones of monotone functions are given. The validity of so-called weighted iterated Hardy-type inequalities are characterized.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 [31/48, DI/9/5-100/13]; Academy of Sciences of Czech RepublicCzech Academy of Sciences; Scientific and Technological Research Council of TurkeyTurkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK)en_US
dc.description.sponsorshipThe research of A. Gogatishvili was partly supported by the grants P201-13-14743S 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 both 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, Amiran & Mustafayev, Rza. (2017). Weighted iterated Hardy-type inequalities. Mathematical Inequalities & Applications. 20. 683-728. 10.7153/mia-2017-20-45.en_US
dc.identifier.doi10.7153/mia-20-45
dc.identifier.endpage728en_US
dc.identifier.issn1331-4343
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85020772283
dc.identifier.scopusqualityQ1
dc.identifier.startpage683en_US
dc.identifier.urihttps://doi.org/10.7153/mia-20-45
dc.identifier.urihttps://hdl.handle.net/20.500.12587/6940
dc.identifier.volume20en_US
dc.identifier.wosWOS:000412831000004
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElementen_US
dc.relation.ispartofMathematical Inequalities & Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectQuasilinear operatorsen_US
dc.subjectiterated Hardy inequalitiesen_US
dc.subjectweightsen_US
dc.titleWeighted Iterated Hardy-Type Inequalitiesen_US
dc.typeArticle

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