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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 226, Pages 155–169
(Mi znsl3728)
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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
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
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
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https://www.mathnet.ru/eng/znsl3728 https://www.mathnet.ru/eng/znsl/v226/p155
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Abstract page: | 130 | Full-text PDF : | 56 |
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