Geodesic
A~Littlewood-Paley-Rubio de~Francia inequality for bounded Vilenkin systems
Sbornik. Mathematics, Tome 212 (2021) no. 10, pp. 1491-1502

Voir la notice de l'article provenant de la source Math-Net.Ru

Rubio de Francia proved a one-sided Littlewood-Paley inequality for the square function constructed from an arbitrary system of disjoint intervals. Later, Osipov proved a similar inequality for Walsh systems. We prove a similar inequality for more general Vilenkin systems. Bibliography: 11 titles.
Keywords: Littlewood-Paley-Rubio de Francia inequality, Vilenkin systems. 
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     title = {A~Littlewood-Paley-Rubio {de~Francia} inequality for bounded {Vilenkin} systems},
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A. S. Tselishchev. A~Littlewood-Paley-Rubio de~Francia inequality for bounded Vilenkin systems. Sbornik. Mathematics, Tome 212 (2021) no. 10, pp. 1491-1502. http://geodesic.mathdoc.fr/item/SM_2021_212_10_a5/