Weighted Inequalities for the Dyadic Square Function

被引：1

作者：

Osckowski, Adam ^{[1
]}

机构：

[1] Univ Warsaw, Dept Math Informat & Mech, Banacha 2, PL-02097 Warsaw, Poland

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2016年 / 85卷 / 03期

关键词：

Maximal function; Square function; Weight; Martingale; NORM INEQUALITIES; MUCKENHOUPT; INTEGRALS;

D O I：

10.1007/s00020-016-2286-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study Fefferman-Stein inequalities for the dyadic square function associated with an integrable, Hilbert-space-valued function on the interval [0, 1). The proof rests on a Bellman function method: the estimates are deduced from the existence of certain special functions enjoying appropriate majorization and concavity.

引用

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页码：359 / 380

页数：22

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