Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2014, Number 3, Pages 8–14 (Mi vmumm316)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Paley inequality for Bellman transform of multiple Fourier series

A. M. Zhantakbayevaa, E. D. Nursultanovb

a L. N. Gumilev Eurasian National University, Astana
b Kazakhstan Branch of Lomonosov Moscow State University, Astana
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Abstract: A root estimate is obtained for the Hardy–Littlewood–Paley inequality for Bellman type averages of Fourier coefficients of functions from anisotropic Lorentz spaces.
Key words: anisotropic Lorentz spaces, Hardy–Littlewood–Paley inequality, Fourier coefficients.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan 0744/ГФ
1412/ГФ
1504/ГФ
Received: 26.04.2012
English version:
Moscow University Mathematics Bulletin, 2014, Volume 69, Issue 3, Pages 94–99
DOI: https://doi.org/10.3103/S0027132214030024
Bibliographic databases:
Document Type: Article
UDC: 517.52
Language: Russian
Citation: A. M. Zhantakbayeva, E. D. Nursultanov, “Paley inequality for Bellman transform of multiple Fourier series”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 3, 8–14; Moscow University Mathematics Bulletin, 69:3 (2014), 94–99
Citation in format AMSBIB
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\paper Paley inequality for Bellman transform of multiple Fourier series
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2014
\issue 3
\pages 8--14
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\transl
\jour Moscow University Mathematics Bulletin
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\vol 69
\issue 3
\pages 94--99
\crossref{https://doi.org/10.3103/S0027132214030024}
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