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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 226, Pages 155–169 (Mi znsl3728)  
This article is cited in 3 scientific papers (total in 3 papers)

On the Littlewood–Paley theory for multiple Fourier series

M. M. Skriganov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (1888 kB) Citations (3)
Abstract: We study the Littlewood–Paley theory for multiple Fourier series with arbitrary period lattice. It is shown that the constants in the Littlewood–Paley inequality can be chosen to be independent of the mutual arrangement of the period lattice and the set of dyadic parallelepipeds. Bibl. 6 titles.
Received: 14.10.1995
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 89, Issue 1, Pages 1021–1030
DOI: https://doi.org/10.1007/BF02358539
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: M. M. Skriganov, “On the Littlewood–Paley theory for multiple Fourier series”, Analytical theory of numbers and theory of functions. Part 13, Zap. Nauchn. Sem. POMI, 226, POMI, St. Petersburg, 1996, 155–169; J. Math. Sci. (New York), 89:1 (1998), 1021–1030
Citation in format AMSBIB
\Bibitem{Skr96}
\by M.~M.~Skriganov
\paper On the Littlewood--Paley theory for multiple Fourier series
\inbook Analytical theory of numbers and theory of functions. Part~13
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 226
\pages 155--169
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3728}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1433355}
\zmath{https://zbmath.org/?q=an:0898.42005|0889.42015}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 89
\issue 1
\pages 1021--1030
\crossref{https://doi.org/10.1007/BF02358539}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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