Weighted weak-type inequalities for square functions

IF 0.9 4区数学 Q2 MATHEMATICS

Mathematical Inequalities & Applications Pub Date : 2020-01-01 DOI:10.7153/mia-2020-23-21

A. Osȩkowski

引用次数: 1

Abstract

The paper is devoted to weighted weak-type inequalities for square functions of continuous-path martingales and identifies the optimal dependence of the weak norm on the characteristic of the weight. The proof rests on Bellman function technique: the estimates are deduced from the existence of special functions enjoying appropriate size conditions and concavity. Mathematics subject classification (2010): 46E30, 60G42.

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平方函数的加权弱型不等式

本文研究了连续路径鞅的平方函数的加权弱型不等式，并确定了弱模对权值特征的最优依赖关系。利用Bellman函数技术，从具有适当的大小条件和凹度的特殊函数的存在推导出估计。数学学科分类(2010):46E30, 60G42。

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

Mathematical Inequalities & Applications 数学-数学

CiteScore

2.30

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： ''Mathematical Inequalities & Applications'' (''MIA'') brings together original research papers in all areas of mathematics, provided they are concerned with inequalities or their role. From time to time ''MIA'' will publish invited survey articles. Short notes with interesting results or open problems will also be accepted. ''MIA'' is published quarterly, in January, April, July, and October.