A Remark on the Boundedness of Calder6n-Zygmund Operators in Non-homogeneous Spaces

被引：0
|
作者：
Xiao Li FU School of Mathematical Sciences
机构：
来源：
Acta Mathematica Sinica(English Series) | 2007年 / 23卷 / 03期
关键词：
Calderón-Zygmund operator; Hardy space; L(1; Non-doubling measure;
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
Let μ be a Radon measure on R~d which may be non-doubling.The only condition satisfiedby μ is that μ(B(x,r))≤Cr~n for all x∈R~d,r>0 and some fixed 0<n≤d.In this paper,theauthors prove that the boundedness from H~1(μ) into L(μ) of a singular integral operator T withCalderón-Zygmund kernel of Hrmander type implies its L~2(μ)-boundedness.
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页码：449 / 456
页数：8
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