2 papers
math.CA2022
Littlewood--Paley--Rubio de Francia inequality for unbounded Vilenkin systems
Anton Tselishchev
Rubio de Francia proved the one-sided version of Littlewood--Paley inequality for arbitrary intervals. In this paper, we prove the similar inequality in the context of arbitrary Vi…
math.CA2021
On the Littlewood--Paley--Rubio de Francia inequality for the bounded Vilenkin systems
Anton Tselishchev
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 p…