N. N. Osipov, “Littlewood–Paley–Rubio de Francia inequality for the Walsh system”, Algebra i Analiz, 2016, Volume 28, Issue 5,Pages <nobr>236

This article is cited in 9 papers

Research Papers

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

N. N. Osipov^ab

^a St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka, 27, 191023, St. Petersburg, Russia
^b Norwegian University of Science and Technology (NTNU), IME Faculty, Dep. of Math. Sci., Alfred Getz' vei 1, Trondheim, Norway

Abstract: 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.

Keywords: Calderón–Zygmund operator, martingales.

Received: 10.03.2016

Language: English