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Eurasian Mathematical Journal, 2010, Volume 1, Number 2, Pages 86–98 (Mi emj19)  
This article is cited in 2 scientific papers (total in 2 papers)

Some characterizing conditions for the Hardy inequality

A. Kufnera, K. Kulievb

a Mathematical Institute, Academy of Sciences of the Czech Republic
b Department of Mathematics, University of West Bohemia, Czech Republic
Full-text PDF (271 kB) Citations (2)
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Abstract: In this paper, a new scale of necessary and sufficient conditions for the validity of the Hardy and reverse Hardy inequalities in the cases
$$ 0<\frac{q}{p}<1,\qquad p\in(-\infty,0)\cup(1,\infty), $$
and
$$ 0<\frac{p}{q}<1,\qquad q\in(0,1) $$
is found and estimates for the best constants are derived.
Keywords and phrases: inequalities, Hardy's inequality, weights, scales of weight characterizations, Hardy operator.
Received: 13.02.2010
Bibliographic databases:
Document Type: Article
MSC: 26D10, 26D15
Language: English
Citation: A. Kufner, K. Kuliev, “Some characterizing conditions for the Hardy inequality”, Eurasian Math. J., 1:2 (2010), 86–98
Citation in format AMSBIB
\Bibitem{KufKul10}
\by A.~Kufner, K.~Kuliev
\paper Some characterizing conditions for the Hardy inequality
\jour Eurasian Math. J.
\yr 2010
\vol 1
\issue 2
\pages 86--98
\mathnet{http://mi.mathnet.ru/emj19}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2905174}
\zmath{https://zbmath.org/?q=an:1218.26015}
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  • https://www.mathnet.ru/eng/emj/v1/i2/p86
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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