| dc.contributor.author | Gogatishvili, Amiran | |
| dc.contributor.author | Mustafayev, Rza | |
| dc.contributor.author | Persson, Lars-Erik | |
| dc.date.accessioned | 2020-06-25T18:06:57Z | |
| dc.date.available | 2020-06-25T18:06:57Z | |
| dc.date.issued | 2013 | |
| dc.identifier.citation | Gogatishvili, 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.issn | 1029-242X | |
| dc.identifier.uri | https://doi.org/10.1186/1029-242X-2013-515 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12587/5421 | |
| 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: 000329196000019 | en_US |
| dc.description.abstract | In 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.sponsorship | Grant 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.sponsorship | We 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.language.iso | eng | en_US |
| dc.publisher | Springer International Publishing Ag | en_US |
| dc.relation.isversionof | 10.1186/1029-242X-2013-515 | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | iterated Hardy inequalities | en_US |
| dc.subject | discretization | en_US |
| dc.subject | weights | en_US |
| dc.title | Some new iterated Hardy-type inequalities: the case θ=1 | en_US |
| dc.type | article | en_US |
| dc.contributor.department | Kırıkkale Üniversitesi | en_US |
| dc.relation.journal | Journal Of Inequalities And Applications | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
