Littlewood--Paley--Rubio de Francia inequality for the Walsh system

preprint2014arXivOpen access

Rubio de Francia proved the one-sided Littlewood--Paley inequality for arbitrary intervals in $L^p$ , $2 \le p < \infty$ . In this article, such an inequality is proved for the Walsh system.

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Littlewood--Paley--Rubio de Francia inequality for the Walsh system

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