Weak Orlicz spaces:Some basic properties and their applications to harmonic analysis

被引：0
|
作者：
LIU PeiDe [1 ]
WANG MaoFa [1 ]
机构：
[1] School of Mathematics and Statistics,Wuhan University
来源：
ScienceChina(Mathematics) | 2013年 / 56卷 / 04期
基金：
中国国家自然科学基金;
关键词：
weak Orlicz space; normality; maximal operator; interpolation theorem; singular integral operator;
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
We study some basic properties of weak Orlicz spaces and their applications to harmonic analysis.We first discuss the absolute continuity of the quasi-norm and its normality,then prove the boundedness of several maximal operators.We also establish a kind of Marcinkiewicz-type interpolation theorem between weak Orlicz spaces.As applications,the weak type analogues of several classical inequalities in harmonic analysis is obtained.
引用
收藏
页码：787 / 800
页数：14
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