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Eurasian Mathematical Journal, 2012, Volume 3, Number 2, Pages 53–84 (Mi emj86)  
This article is cited in 4 scientific papers (total in 4 papers)

Order-sharp estimates for Hardy-type operators on the cones of functions with properties of monotonicity

M. L. Goldman

Department of Nonlinear Analysis and Optimization, Peoples' Friendship University of Russia, Moscow, Russia
Full-text PDF (494 kB) Citations (4)
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Abstract: Two-sided estimates are established for two types of generalized Hardy operators on the cones of functions in weighted Lebesgue spaces with some properties of monotonicity.
We prove the results announced in [7], and present some other equivalent forms for the criterion of boundedness. Some other equivalent descriptions, particular cases, and results in the case of degenerate measures will be given in our next paper.
Keywords and phrases: Hardy type operator, cone of quasimonotone functions, criterion of the boundedness.
Received: 15.07.2012
Bibliographic databases:
Document Type: Article
MSC: 46E30, 42A16
Language: English
Citation: M. L. Goldman, “Order-sharp estimates for Hardy-type operators on the cones of functions with properties of monotonicity”, Eurasian Math. J., 3:2 (2012), 53–84
Citation in format AMSBIB
\Bibitem{Gol12}
\by M.~L.~Goldman
\paper Order-sharp estimates for Hardy-type operators on the cones of functions with properties of monotonicity
\jour Eurasian Math. J.
\yr 2012
\vol 3
\issue 2
\pages 53--84
\mathnet{http://mi.mathnet.ru/emj86}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3024120}
\zmath{https://zbmath.org/?q=an:1279.47061}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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