M. L. Goldman, “Order-sharp estimates for Hardy-type operators on cones of quasimonotone functions”, Eurasian Math. J., 2:3 (2011), 143

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Eurasian Mathematical Journal, 2011, Volume 2, Number 3, Pages 143–146 (Mi emj67)

This article is cited in 8 scientific papers (total in 8 papers)

Short communications

Order-sharp estimates for Hardy-type operators on cones of quasimonotone functions

M. L. Goldman

Department of Nonlinear Analysis and Optimization, Peoples' Friendship University of Russia, Moscow, Russia

Full-text PDF (373 kB) Citations (8)

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Abstract: The two-sided estimates are obtained for two types of generalized Hardy operators on cones of functions in weighted Lebesgue spaces with some properties of monotonicity.

Keywords and phrases: Hardy type operator, cones of quasimonotone functions, criterion of the boundedness.

Received: 25.10.2011

Bibliographic databases:

Document Type: Article

MSC: 46E30, 42A16

Language: English

Citation: M. L. Goldman, “Order-sharp estimates for Hardy-type operators on cones of quasimonotone functions”, Eurasian Math. J., 2:3 (2011), 143–146

Citation in format AMSBIB

\Bibitem{Gol11}

\by M.~L.~Goldman

\paper Order-sharp estimates for Hardy-type operators on cones of quasimonotone functions

\jour Eurasian Math. J.

\yr 2011

\vol 2

\issue 3

\pages 143--146

\mathnet{http://mi.mathnet.ru/emj67}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2910846}

\zmath{https://zbmath.org/?q=an:1261.47061}

Linking options:

https://www.mathnet.ru/eng/emj67

https://www.mathnet.ru/eng/emj/v2/i3/p143

This publication is cited in the following 8 articles:

E. I. Berezhnoi, L. Maligranda, “On representation of cones of monotone functions in weighted Lebesgue spaces and extrapolation of operators on these cones”, St. Petersburg Math. J., 29:4 (2018), 545–574
Gogatishvili A. Mustafayev R.Ch., “Weighted Iterated Hardy-Type Inequalities”, Math. Inequal. Appl., 20:3 (2017), 683–728
Persson L.-E., Popova O.V., Stepanov V.D., “Weighted Hardy-Type Inequalities on the Cone of Quasi-Concave Functions”, Math. Inequal. Appl., 17:3 (2014), 879–898
Taspaganbetova Zh., “Two-Sided Estimates For Matrix Operators on the Cone of Monotone Sequences”, J. Math. Anal. Appl., 410:1 (2014), 82–93
A. Gogatishvili, V. D. Stepanov, “Reduction theorems for weighted integral inequalities on the cone of monotone functions”, Russian Math. Surveys, 68:4 (2013), 597–664
M. L. Goldman, “Some equivalent criteria for the boundedness of Hardy-type operators on the cone of quasimonotone functions”, Eurasian Math. J., 4:4 (2013), 43–63
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
Gogatishvili A., Stepanov V.D., “Integral Operators on Cones of Monotone Functions”, Dokl. Math., 86:2 (2012), 650–653

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	426
Full-text PDF :	147
References:	79

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