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Sbornik: Mathematics, 2009, Volume 200, Issue 11, Pages 1617–1631
DOI: https://doi.org/10.1070/SM2009v200n11ABEH004053 (Mi sm7510) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Hardy-Littlewood theorem for trigonometric series with $\alpha$-monotone coefficients

M. I. Dyachenkoa, E. D. Nursultanovbc

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Kazakhstan Branch of Lomonosov Moscow State University
c L. N. Gumilev Eurasian National University
English version PDF (287 kB) Citations (7) Russian version article
References:
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DOI: https://doi.org/10.1070/SM2009v200n11ABEH004053
Abstract: The Hardy-Littlewood theorem is established for trigonometric series with $\alpha$-monotone coefficients. Inequalities of Hardy-Littlewood kind are proved. Examples of series demonstrating that the results obtained are sharp are constructed.
Bibliography: 15 titles.
Keywords: generalized monotone coefficients, Hardy-Littlewood theorem.
Received: 03.12.2008 and 13.04.2009
Bibliographic databases:
UDC: 517.52
MSC: 42A16
Language: English
Original paper language: Russian
Citation: M. I. Dyachenko, E. D. Nursultanov, “Hardy-Littlewood theorem for trigonometric series with $\alpha$-monotone coefficients”, Sb. Math., 200:11 (2009), 1617–1631
Citation in format AMSBIB
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\by M.~I.~Dyachenko, E.~D.~Nursultanov
\paper Hardy-Littlewood theorem for trigonometric series with $\alpha$-monotone coefficients
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\yr 2009
\vol 200
\issue 11
\pages 1617--1631
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  • https://www.mathnet.ru/eng/sm/v200/i11/p45
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:1224
    Russian version PDF:414
    English version PDF:35
    References:103
    First page:87
     
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