Remarks on Weak-Type Estimates for Certain Grand Square Functions

被引：0
|
作者：
Huang, Yi [1 ,2 ,3 ]
机构：
[1] Univ Paris Sud, Paris, France
[2] Univ Paris Saclay, Paris, France
[3] Nanjing Normal Univ, Nanjing, Jiangsu, Peoples R China
来源：
MATHEMATICAL NOTES | 2018年 / 103卷 / 3-4期
关键词：
Littlewood-Paley operators; (grand) square functions; sharp aperture dependence; weak-type estimates; Lorentz spaces; INEQUALITIES; LAMBDA; NORM;
D O I：
10.1134/S0001434618030252
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note we extend weak-type estimates obtained recently by A. K. Lerner to certain grand square functions by using a simple argument in terms of real variables. In this way, we improve a weak-type L (1)-estimate for grand Littlewood-Paley operators due to N. N. Osipov.
引用
收藏
页码：589 / 592
页数：4
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