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Eurasian Mathematical Journal, 2010, Volume 1, Number 3, Pages 27–42 (Mi emj27)  
This article is cited in 8 scientific papers (total in 8 papers)

Hardy-type inequality for $0<p<1$ and hypodecreasing functions

V. I. Burenkova, A. Senoucib, T. V. Tararykovaa

a Faculty of Mechanics and Mathematics L. N. Gumilyov Eurasian National University, Astana, Kazakhstan
b Department of Mathematics Ibnou-Khaldoun University, Tiaret, Algeria
Full-text PDF (437 kB) Citations (8)
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Abstract: The notion of a hypodecreasing function is introduced. Some properties of hypodecreasing functions are proved and several examples are given. It is established that the Hardy-type inequality for $L_p$-spaces with $0<p<1$ is satisfied for some spaces of hypodecreasing functions. The obtained result is in a certain sense sharp.
Keywords and phrases: the Hardy inequality, $L_p$-spaces with $0<p<1$, hypodecreasing functions.
Received: 12.07.2010
Bibliographic databases:
Document Type: Article
MSC: 47B38
Language: English
Citation: V. I. Burenkov, A. Senouci, T. V. Tararykova, “Hardy-type inequality for $0<p<1$ and hypodecreasing functions”, Eurasian Math. J., 1:3 (2010), 27–42
Citation in format AMSBIB
\Bibitem{BurSenTar10}
\by V.~I.~Burenkov, A.~Senouci, T.~V.~Tararykova
\paper Hardy-type inequality for $0<p<1$ and hypodecreasing functions
\jour Eurasian Math. J.
\yr 2010
\vol 1
\issue 3
\pages 27--42
\mathnet{http://mi.mathnet.ru/emj27}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2904765}
\zmath{https://zbmath.org/?q=an:1273.47057}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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