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Eurasian Mathematical Journal, 2012, Volume 3, Number 1, Pages 5–17 (Mi emj70)  
This article is cited in 1 scientific paper (total in 1 paper)

On the boundedness of some classes of integral operators in weighted Lebesgue spaces

L. S. Arendarenkoa, R. Oinarova, L.-E. Perssonb

a Department of Fundamental and Applying Mathematics, Faculty of Mechanics and Mathematics, Eurasian National University, Astana, Kazakhstan
b Department of Engineering Sciences and Mathematics Luleå University of Technology, SE-971 87 Luleå, Sweden
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Abstract: Some new Hardy-type inequalities for Hardy-Volterra integral operators are proved and discussed. The case $1<q<p<\infty$ is considered and the involved kernels satisfy conditions, which are less restrictive than the usual Oinarov condition.
Keywords and phrases: Hardy type inequalities, boundedness, integral operators, kernels, weighted Lebesgue spaces.
Received: 06.09.2011
Bibliographic databases:
Document Type: Article
MSC: 47G10, 47B38
Language: English
Citation: L. S. Arendarenko, R. Oinarov, L.-E. Persson, “On the boundedness of some classes of integral operators in weighted Lebesgue spaces”, Eurasian Math. J., 3:1 (2012), 5–17
Citation in format AMSBIB
\Bibitem{AreOinPer12}
\by L.~S.~Arendarenko, R.~Oinarov, L.-E.~Persson
\paper On the boundedness of some classes of integral operators in weighted Lebesgue spaces
\jour Eurasian Math. J.
\yr 2012
\vol 3
\issue 1
\pages 5--17
\mathnet{http://mi.mathnet.ru/emj70}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3024105}
\zmath{https://zbmath.org/?q=an:1285.47050}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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