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arXiv · 2106.00071

On the Littlewood--Paley--Rubio de Francia inequality for the bounded Vilenkin systems

Anton Tselishchev
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Abstract

The one-sided Littlewood--Paley inequality for arbitrary intervals was proved by Rubio de Francia. Later, N. Osipov proved its analogue for the system of Walsh functions. In this paper, this inequality is proved for more general Vilenkin systems.

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Anton Tselishchev. 2021-05-31. On the Littlewood--Paley--Rubio de Francia inequality for the bounded Vilenkin systems. https://arxiv.org/abs/2106.00071

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