N. N. Osipov, “Littlewood–Paley–Rubio de Francia inequality for the Walsh system”, Алгебра и анализ, 2016, том 28, выпуск 5,страницы 236

Эта публикация цитируется в 9 статьях

Статьи

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

Аннотация: 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.

Ключевые слова: Calderón–Zygmund operator, martingales.

Поступила в редакцию: 10.03.2016

Язык публикации: английский