论文标题
在Hardy-Littlewood-Pólya类型的运营商上
On the operators of Hardy-Littlewood-Pólya type
论文作者
论文摘要
在本文中，我们介绍并研究了几个新的Hardy-Littlewood-pólya型操作员。特别是，我们研究了由$ [0,1）$的阳性bore尺寸引起的硬质木材型操作员。我们为这些操作员的界限（紧凑性）建立了一些足够和必要的条件。对于某些特殊情况，我们还确定了Hardy-Littlewood-Pólya型操作员的规范的确切值。
In this paper we introduce and study several new Hardy-Littlewood-Pólya-type operators. In particular, we study a Hardy-Littlewood-Pólya-type operator induced by a positive Borel measure on $[0,1)$. We establish some sufficient and necessary conditions for the boundedness (compactness) of these operators. We also determine the exact values of the norms of the Hardy-Littlewood-Pólya-type operators for certain special cases.
