向量值广义Calderón-Zygmund算子在Herz型Hardy空间上的有界性

THE BOUNDEDNESS OF VECTOR VALUED GENERALIZED CALDER■N-ZYGMUND OPERATORS ON HERZ TYPE HARDY SPACES

文中完善了参考文献[5]中的结论,在通常的标准假设下,证明了一类具有向量值核的广义Calderón-Zygmund算子从Herz型Hardy空间HKp到向量值Herz空间KE,p的有界性及加权有界性.

In this paper, the result of is perfected with standard conditions. It is proved that the generalized Calderón-Zygmund operators of vector valued kernels are bounded and weighted bounded from Hardy spaces HK_p associated with Herz spaces to vector valued Herz spaces K_ E,p .