Maximal operators of commutators of Bochner-Riesz means with Lipschitz functions

被引：0
|
作者：
Gong, Shuli [2 ]
Ma, Bolin [1 ]
机构：
[1] Jiaxing Univ, Coll Sci & Informat Engn, Jiaxing 314001, Peoples R China
[2] Hunan Univ, Coll Math & Economtr, Changsha 410082, Peoples R China
来源：
FRONTIERS OF MATHEMATICS IN CHINA | 2011年 / 6卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Maximal operator; commutator; Bochner-Riesz means; Lipschitz function;
D O I：
10.1007/s11464-011-0114-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper presents a weighted L (2) estimate with power weights for the maximal operator of commutators generated by compactly supported multipliers and Lipschitz functions. As an application, we study the almost convergence of the commutators, which is generated by the Bochner-Riesz means under the critical index and Lipschitz functions, for functions in L (p) (p >= 2).
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页码：427 / 447
页数：21
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