| dc.contributor.author | Gogatishvili, Amiran | |
| dc.contributor.author | Mustafayev, Rza Ch. | |
| dc.date.accessioned | 2020-06-25T18:22:53Z | |
| dc.date.available | 2020-06-25T18:22:53Z | |
| dc.date.issued | 2017 | |
| dc.identifier.citation | Gogatishvili, 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.issn | 1331-4343 | |
| dc.identifier.uri | https://doi.org/10.7153/mia-20-45 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12587/6940 | |
| dc.description | Gogatishvili, Amiran/0000-0003-3459-0355; Gogatishvili, Amiran/0000-0003-3459-0355; Mustafayev, Rza/0000-0002-2806-9646 | en_US |
| dc.description | WOS: 000412831000004 | en_US |
| dc.description.abstract | In 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.sponsorship | Grant 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.sponsorship | The 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.language.iso | eng | en_US |
| dc.publisher | Element | en_US |
| dc.relation.isversionof | 10.7153/mia-20-45 | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Quasilinear operators | en_US |
| dc.subject | iterated Hardy inequalities | en_US |
| dc.subject | weights | en_US |
| dc.title | Weighted Iterated Hardy-Type Inequalities | en_US |
| dc.type | article | en_US |
| dc.contributor.department | Kırıkkale Üniversitesi | en_US |
| dc.identifier.volume | 20 | en_US |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.startpage | 683 | en_US |
| dc.identifier.endpage | 728 | en_US |
| dc.relation.journal | Mathematical Inequalities & Applications | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
