摘要
本文证明了一类具有向量值核的Calderon-Zygmund算子是Herz型Hard,空间HKp到向量值Herz空间KE,p有界的,应用这一结果,得到了粗糙核Calderon-Zygmund算子,极大型Calderon-Zygmund算子,极大算子等是HKp到Kp有界的.
In this paper I it is proved that the Calderon-Zygmund operators of vector valued kernels are bounded from Hardy spaces HKP associated with Herz spaces to vector valued Herz spaces KE,P. Applications to Calderon-Zygmund operators with rough kernels, Calderon-Zygmund maximal operators, approximate identies and maximal operators are given.
出处
《数学进展》
CSCD
北大核心
1999年第4期331-337,共7页
Advances in Mathematics(China)
关键词
向量值算子
HERZ空间
HARDY空间
C-Z算子
Calderon-Zygmund singular integral
maximal operator
vector valued operator
Herz space
Hardy space