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Eurasian Mathematical Journal, 2015, Volume 6, Number 1, Pages 76–84 (Mi emj185)  
Bochkarev inequality for the Fourier transform of functions in the Lorentz spaces $L_{2,r}(\mathbb{R})$

G. K. Mussabayeva, N. T. Tleukhanova

L.N. Gumilyov Eurasian National University, 2 Satpayev st., 010010 Astana, Kazakhstan
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Abstract: In this article we prove an analogue of Hardy–Littlewood–Stein inequality for the Fourier transform in Lorentz space $L_{2,r}(\mathbb{R})$.
Keywords and phrases: Lorentz spaces, Fourier transform.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan 3311/GF4
This work was supported by the grant of the Ministry of Education and Science of the Republic of Kazakhstan (project 3311/GF4).
Received: 03.02.2015
Bibliographic databases:
Document Type: Article
MSC: 42B10
Language: English
Citation: G. K. Mussabayeva, N. T. Tleukhanova, “Bochkarev inequality for the Fourier transform of functions in the Lorentz spaces $L_{2,r}(\mathbb{R})$”, Eurasian Math. J., 6:1 (2015), 76–84
Citation in format AMSBIB
\Bibitem{MusTle15}
\by G.~K.~Mussabayeva, N.~T.~Tleukhanova
\paper Bochkarev inequality for the Fourier transform of functions in the Lorentz spaces~$L_{2,r}(\mathbb{R})$
\jour Eurasian Math. J.
\yr 2015
\vol 6
\issue 1
\pages 76--84
\mathnet{http://mi.mathnet.ru/emj185}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000374499100006}
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