Singular Measures and Convolution Operators

被引：0
|
作者：
J. M. Aldaz
Juan L. Varona
机构：
[1] Universidad de La Rioja,Departamento de Matemáticas y Computación
来源：
Acta Mathematica Sinica, English Series | 2007年 / 23卷
关键词：
Hardy–Littlewood maximal function; Weak type inequalities; Singular measures; Convolution operators; 42A99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show that in the study of certain convolution operators, functions can be replaced by measures without changing the size of the constants appearing in weak type (1, 1) inequalities. As an application, we prove that the best constants for the centered Hardy–Littlewood maximal operator associated with parallelotopes do not decrease with the dimension.
引用
收藏
页码：487 / 490
页数：3
相关论文
共 50 条
12345