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Eurasian Mathematical Journal, 2015, Volume 6, Number 1, Pages 132–135 (Mi emj190)  
Short communications

Integrability of the Fourier transforms of $\alpha$-monotone functions

A. Mukanov

Department of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, 2 Satpaev St., 010008 Astana, Kazakhstan
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Abstract: We define a class of $\alpha$-monotone functions. We study of integrability conditions of the Fourier transforms of functions from this class.
Keywords and phrases: Fourier transform, Lorentz spaces, $\alpha$-monotone functions, fractional integral.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan 3311/ΓΦ4
This work was supported by the grant of Committee of Science of the Ministry of Education and Science of the Republic of Kazakhstan , project no. 3311/ΓΦ4.
Received: 10.02.2015
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Document Type: Article
MSC: 42B10
Language: English
Citation: A. Mukanov, “Integrability of the Fourier transforms of $\alpha$-monotone functions”, Eurasian Math. J., 6:1 (2015), 132–135
Citation in format AMSBIB
\Bibitem{Muk15}
\by A.~Mukanov
\paper Integrability of the Fourier transforms of $\alpha$-monotone functions
\jour Eurasian Math. J.
\yr 2015
\vol 6
\issue 1
\pages 132--135
\mathnet{http://mi.mathnet.ru/emj190}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000374499100011}
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