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Sbornik: Mathematics, 2016, Volume 207, Issue 12, Pages 1729–1742
DOI: https://doi.org/10.1070/SM8707 (Mi sm8707) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On nonequivalence of the $\mathrm{C}$- and $\mathrm{QC}$-norms in the space of trigonometric polynomials

A. O. Radomskii

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
English version PDF (468 kB) Citations (7) Russian version article
References:
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DOI: https://doi.org/10.1070/SM8707
Abstract: A nontrivial lower bound for the quantity $\sup_{t\in L}\|t\|_{\mathrm{QC}}/\|t\|_{\infty}$ is obtained for a subspace $L$ of $ \mathrm{T}(2^{m}-1)$ which satisfies a certain dimension condition.
Bibliography: 8 titles.
Keywords: trigonometric polynomials, Fejér kernels, Rademacher functions.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work was supported by the Russian Science Foundation under grant 14-50-00005.
Received: 31.03.2016 and 24.04.2016
Bibliographic databases:
Document Type: Article
UDC: 517.518
MSC: Primary 42A05; Secondary 46E999
Language: English
Original paper language: Russian
Citation: A. O. Radomskii, “On nonequivalence of the $\mathrm{C}$- and $\mathrm{QC}$-norms in the space of trigonometric polynomials”, Sb. Math., 207:12 (2016), 1729–1742
Citation in format AMSBIB
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\paper On nonequivalence of the $\mathrm{C}$- and $\mathrm{QC}$-norms in the space of trigonometric polynomials
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\vol 207
\issue 12
\pages 1729--1742
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  • https://www.mathnet.ru/eng/sm/v207/i12/p110
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:112
    English version PDF:40
    References:101
    First page:47
     
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