Some new scales of characterization of Hardy's inequality

0341040 - MÚ 2010 RIV EE eng J - Journal Article
Gogatishvili, Amiran - Kufner, Alois - Persson, L.E.
Some new scales of characterization of Hardy's inequality.
Proceedings of the Estonian Academy of Sciences. Roč. 59, č. 1 (2010), s. 7-18. ISSN 1736-6046. E-ISSN 1736-7530
R&D Projects: GA ČR GA201/05/2033; GA ČR GA201/08/0383
Institutional research plan: CEZ:AV0Z10190503
Keywords : Hardy operator * Hardy's inequality
Subject RIV: BA - General Mathematics
Impact factor: 0.464, year: 2010
http://www.kirj.ee/16839/?tpl=1061&c_tpl=1064

Let 1 < p <= q <∞: Inspired by some recent results concerning Hardy-type inequalities where the equivalence of four scales of integral conditions was proved, we use related ideas to find ten new equivalence scales of integral conditions. By applying this result to the original Hardy-type inequality, we obtain a new proof of a number of characterizations of the Hardy inequality and also some new weight characterizations.
Permanent Link: http://hdl.handle.net/11104/0184150