On the Littlewood–Paley theory for multiple Fourier series
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 13, Tome 226 (1996), pp. 155-169
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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.
@article{ZNSL_1996_226_a12,
author = {M. M. Skriganov},
title = {On the {Littlewood{\textendash}Paley} theory for multiple {Fourier} series},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {155--169},
year = {1996},
volume = {226},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1996_226_a12/}
}
M. M. Skriganov. On the Littlewood–Paley theory for multiple Fourier series. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 13, Tome 226 (1996), pp. 155-169. http://geodesic.mathdoc.fr/item/ZNSL_1996_226_a12/