Weighted Norm Inequalities with General Weights for the Commutator of Calderón  被引量:5

Weighted Norm Inequalities with General Weights for the Commutator of Calderón

在线阅读下载全文

作  者:Guo En HU Yue Ping ZHU 

机构地区:[1]Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute [2]School of Science, Nantong University

出  处:《Acta Mathematica Sinica,English Series》2013年第3期505-514,共10页数学学报(英文版)

基  金:Supported by National Natural Science Foundation of China (Grant No. 10971228)

摘  要:In this paper, by a sharp function estimate and an idea of Lerner, the authors establish some weighted estimates for the m-multilinear integral operator which is bounded from L1 (Rn) ×..…… L1 (Rn) to L1/m,∞(Rn), and the associated kernel K(x; yl,.. , Ym) enjoys a regularity on the variable x. As an application, weighted estimates with general weights are given for the commutator of CalderSn.In this paper, by a sharp function estimate and an idea of Lerner, the authors establish some weighted estimates for the m-multilinear integral operator which is bounded from L1 (Rn) ×..…… L1 (Rn) to L1/m,∞(Rn), and the associated kernel K(x; yl,.. , Ym) enjoys a regularity on the variable x. As an application, weighted estimates with general weights are given for the commutator of CalderSn.

关 键 词:Approximation to the identity weighted norm inequality singular integral operator max-imal operator non-smooth kernel 

分 类 号:O178[理学—数学]

 

参考文献:

正在载入数据...

 

二级参考文献:

正在载入数据...

 

耦合文献:

正在载入数据...

 

引证文献:

正在载入数据...

 

二级引证文献:

正在载入数据...

 

同被引文献:

正在载入数据...

 

相关期刊文献:

正在载入数据...

相关的主题
相关的作者对象
相关的机构对象