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

作　　者：赵凯[1] 任晓芳[1] 李澎涛[1] 

机构地区：[1]青岛大学数学系,山东青岛266071

出　　处：《数学杂志》2005年第4期453-457,共5页Journal of Mathematics

摘　　要：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 .

关 键 词：广义Calderón-Zygmuncl算子 向量值Herz空间 HARDY型空间 加权不等式 

分 类 号：O174.2[理学—数学]