Gogatishvili, AmiranMustafayev, RzaPersson, Lars-Erik2020-06-252020-06-252013Gogatishvili, A., Mustafayev, R. & Persson, LE. Some new iterated Hardy-type inequalities: the case θ=1. J Inequal Appl 2013, 515 (2013).1029-242Xhttps://doi.org/10.1186/1029-242X-2013-515https://hdl.handle.net/20.500.12587/5421Gogatishvili, Amiran/0000-0003-3459-0355; Gogatishvili, Amiran/0000-0003-3459-0355; Mustafayev, Rza/0000-0002-2806-9646In 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.eninfo:eu-repo/semantics/openAccessiterated Hardy inequalitiesdiscretizationweightsArticle10.1186/1029-242X-2013-5152-s2.0-84897620122Q1WOS:000329196000019Q2