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Eurasian Mathematical Journal, 2013, Volume 4, Number 4, Pages 17–29 (Mi emj142)  
This article is cited in 1 scientific paper (total in 1 paper)

Schur test for the Hardy operator

E. I. Berezhnoi

Department of differential equations, Mathematical faculty, Yaroslavl State University, 14 Sovetskaya St., 150000 Yaroslavl, Russia
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Abstract: For monotonic functions necessary and sufficient conditions are investigated ensuring the equivalence of a function and of an integral containing that function. Factorization theorems (Schur tests) are proved for the classical Hardy operator and its adjoint in Lebesque spaces with monotonic weights.
Keywords and phrases: Schur test, Hardy operator, extrapolation.
Received: 22.12.2010
Document Type: Article
MSC: 46E30, 46B42, 46B70
Language: English
Citation: E. I. Berezhnoi, “Schur test for the Hardy operator”, Eurasian Math. J., 4:4 (2013), 17–29
Citation in format AMSBIB
\Bibitem{Ber13}
\by E.~I.~Berezhnoi
\paper Schur test for the Hardy operator
\jour Eurasian Math. J.
\yr 2013
\vol 4
\issue 4
\pages 17--29
\mathnet{http://mi.mathnet.ru/emj142}
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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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