A Littlewood-Paley-Rubio de Francia inequality for bounded Vilenkin systems

IF 0.8 4区数学 Q2 MATHEMATICS

Sbornik Mathematics Pub Date : 2021-01-01 DOI:10.1070/SM9482

A. Tselishchev

引用次数: 5

Abstract

Rubio de Francia proved a one-sided Littlewood-Paley inequality for the square function constructed from an arbitrary system of disjoint intervals. Later, Osipov proved a similar inequality for Walsh systems. We prove a similar inequality for more general Vilenkin systems. Bibliography: 11 titles.

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有界Vilenkin系统的littlewood - paly - rubio de Francia不等式

Rubio de Francia证明了由任意不相交区间系统构造的平方函数的单侧Littlewood-Paley不等式。后来，奥西波夫证明了沃尔什系统的一个类似不等式。我们对更一般的Vilenkin系统证明了一个类似的不等式。参考书目:11篇。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Sbornik Mathematics 数学-数学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. The journal has always maintained the highest scientific level in a wide area of mathematics with special attention to current developments in: Mathematical analysis Ordinary differential equations Partial differential equations Mathematical physics Geometry Algebra Functional analysis