Weighted inequalities for Bochner-Riesz means in the plane

被引：17
|
作者：
Carbery, A
Seeger, A
机构：
[1] Univ Edinburgh, Dept Math & Stat, Edinburgh EH3 9JZ, Midlothian, Scotland
[2] Univ Wisconsin, Dept Math, Madison, WI 53706 USA
来源：
QUARTERLY JOURNAL OF MATHEMATICS | 2000年 / 51卷
基金：
美国国家科学基金会;
关键词：
D O I：
10.1093/qjmath/51.2.155
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give weighted inequalities for Bochner-Riesz means and the corresponding maximal operator in the plane. These capture the known L-q results for these operators simultaneously for all values of q > 2. The sharp L-4 estimate for the natural square function associated to the problem is also obtained.
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页码：155 / 167
页数：13
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