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

0398429 - MÚ 2014 RIV DE eng J - Journal Article
Gogatishvili, Amiran - Mustafayev, R. - Persson, L. E.
Some new iterated Hardy-type inequalities: the case θ = 1.
Journal of Inequalities and Applications. -, 8 November (2013), s. 515. ISSN 1029-242X. E-ISSN 1029-242X
R&D Projects: GA ČR GA201/08/0383; GA ČR GA13-14743S
Institutional support: RVO:67985840
Keywords : iterated Hardy inequalities * discretization * weights
Subject RIV: BA - General Mathematics
Impact factor: 0.768, year: 2013
http://www.journalofinequalitiesandapplications.com/content/2013/1/515

In this paper we characterize the validity of the Hardy-type iterated inequality. 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 on the cone of monotone functions and for the generalized Stieltjes operator.
Permanent Link: http://hdl.handle.net/11104/0225906