1) weighted Hardy-Littlewood average operator
加权Hardy-Littlewood平均算子
1.
In this note, the authors obtain some necessary and sufficient conditions for the weighted Hardy-Littlewood average operator, Uψ, to be bounded on Herz spaces Kqα,p(Rn), and give some estimates for the corresponding operator norms.
本文给出了加权Hardy-Littlewood平均算子Uψ在Herz空间Kqα,p(Rn)中有界的充分必要条件并估计了相应的算子范数。
2) weighted Hardy-Littlewood average
加权Hardy-Littlewood平均
1.
In this note,the authors established a sufficient and necessary condition on the weight function for the boundedness of the weighted Hardy-Littlewood average operator on Herz-type space.
本文给出了加权Hardy-Littlewood平均在Herz型空间中关于权有界的充分必要条件。
4) Hardy-Littlewood operator
Hardy-Littlewood算子
1.
Based on the definition of the Hardy -Littlewood operator,which is expan ded to even or odd function in real and the boundedness of the Hardy -Littlewood operator in the space BMO,this paper studies the qualities of operator in the space an d develops the new result of boundedn ess of the Hardy -Littlewood operato r in the space by estimating delicately.
文献[2]中,给出了R上奇偶延拓的Hardy-Littlewood算子的定义,并证明了Hardy-Little-wood算子在函数空间BMO上的有界性。
5) Hardy's Average Operator
Hardy平均算子
6) fractional Hardy-Littlewood average
分数次Hardy-Littlewood平均
1.
According to fractional Hardy inequality,the boundedness of commutators generated by fractional Hardy-Littlewood average operators and Lipschitz functions on R~+ is obtained.
对应于分数次Hardy不等式,考虑了由分数次Hardy-Littlewood平均算子与Lipschitz函数生成的交换子在R+上的有界性。
补充资料：广泛基础加权平均
广泛基础加权平均 Broad-Based Weighted Average
定义：
在企业进行后续发行时，保护现有优先股股东的反摊薄条款。
解释：
广泛基础加权平均条款适用于所有以往发行的股票及当时进行发行的股票。