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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2005, Volume 248, Pages 64–73 (Mi tm119)  
This article is cited in 5 scientific papers (total in 5 papers)

New Inequalities in the Littlewood–Paley Theory and Estimates of the $L_1$ Norm of Trigonometric Series and Polynomials

S. V. Bochkarev

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (178 kB) Citations (5)
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Abstract: Extensions of the Littlewood–Paley theorem to the limit values $p=1$ and $p=\infty$ are applied in order to obtain new lower bounds for the $L_1$ norms of trigonometric series and polynomials. Applications of the method to the estimation of polynomials with quadratic spectrum are suggested.
Received in October 2004
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: S. V. Bochkarev, “New Inequalities in the Littlewood–Paley Theory and Estimates of the $L_1$ Norm of Trigonometric Series and Polynomials”, Studies on function theory and differential equations, Collected papers. Dedicated to the 100th birthday of academician Sergei Mikhailovich Nikol'skii, Trudy Mat. Inst. Steklova, 248, Nauka, MAIK «Nauka/Inteperiodika», M., 2005, 64–73; Proc. Steklov Inst. Math., 248 (2005), 59–68
Citation in format AMSBIB
\Bibitem{Boc05}
\by S.~V.~Bochkarev
\paper New Inequalities in the Littlewood--Paley Theory and Estimates of the~$L_1$ Norm of Trigonometric Series and Polynomials
\inbook Studies on function theory and differential equations
\bookinfo Collected papers. Dedicated to the 100th birthday of academician Sergei Mikhailovich Nikol'skii
\serial Trudy Mat. Inst. Steklova
\yr 2005
\vol 248
\pages 64--73
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm119}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2165916}
\zmath{https://zbmath.org/?q=an:1133.42028}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2005
\vol 248
\pages 59--68
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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