论文标题
在Dirichlet型空间上的广义CESàRO运营商
Generalized Cesàro operators on Dirichlet-type spaces
论文作者
论文摘要
在本说明中，我们介绍并研究了一种新型的广义CESàRO操作员$ \ Mathcal {C}_μ$，该$ $由$ [0，1）$的正borel量$μ$在dirichlet-type型空间之间引起。我们表征了$ \ MATHCAL {C}_μ$从一个dirichlet-type space $ \ mathcal {d}_α$限制到另一个$ \ mathcal {d}_β$中的$ \ mathcal {c} _ $的$μ$。
In this note, we introduce and study a new kind of generalized Cesàro operators $\mathcal{C}_μ$, induced by a positive Borel measure $μ$ on $[0, 1)$, between the Dirichlet-type spaces. We characterize the measures $μ$ for which $\mathcal{C}_μ$ is bounded (compact) from one Dirichlet-type space $\mathcal{D}_α$ into another one $\mathcal{D}_β$.
