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Some new scales of characterization of Hardy's inequality
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SYSNO ASEP 0341040 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Some new scales of characterization of Hardy's inequality Author(s) Gogatishvili, Amiran (MU-W) RID, ORCID, SAI
Kufner, Alois (MU-W) RID, SAI
Persson, L.E. (SE)Source Title Proceedings of the Estonian Academy of Sciences - ISSN 1736-6046
Roč. 59, č. 1 (2010), s. 7-18Number of pages 12 s. Language eng - English Country EE - Estonia Keywords Hardy operator ; Hardy's inequality Subject RIV BA - General Mathematics R&D Projects GA201/05/2033 GA ČR - Czech Science Foundation (CSF) GA201/08/0383 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000276989900003 EID SCOPUS 77956607539 DOI 10.3176/proc.2010.1.03 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2010
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