SQUARE FUNCTION ESTIMATES FOR DISCRETE RADON TRANSFORMS

被引：18
|
作者：
Mirek, Mariusz [1 ,2 ]
机构：
[1] Inst Adv Study, Sch Math, Princeton, NJ 08540 USA
[2] Uniwersytet Wroclawski, Inst Matemat, Wroclaw, Poland
来源：
ANALYSIS & PDE | 2018年 / 11卷 / 03期
关键词：
discrete harmonic analysis; Radon operators; Hardy-Littlewood circle method; exponential sums; ERGODIC THEOREM;
D O I：
10.2140/apde.2018.11.583
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show l(p) < Z(d)>-boundedness, for p epsilon (1, infinity), of discrete singular integrals of Radon type with the aid of appropriate square function estimates, which can be thought of as a discrete counterpart of Littlewood-Paley theory. It is a very robust approach which allows us to proceed as in the continuous case.
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页码：583 / 608
页数：26
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