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.
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页码：359 / 380
页数：22
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