论文标题
Bloch和加权类型空间之间的核Volterra组成算子
Nuclear Volterra composition operators between Bloch and weighted type spaces
论文作者
论文摘要
In this paper, we completely characterize nuclear Volterra composition operators $T^ϕ_g : \mathcal H^\infty_ν\longrightarrow \mathcal H^\infty_μ$ and $S^ϕ_g : \mathcal H^\infty_ν\longrightarrow \mathcal H^\infty_μ$ acting between weighted type spaces in terms of the symbols $g$ and $ t^ϕ_g $和$ s^ϕ_g $和权重$ν$和$μ$的$ ϕ $，当重量$ν$和$μ$是盾牌和威廉姆斯的感觉时。此外，还表征了很少的加权类型空间和订单$β$的Bloch空间之间作用的核Volterra组成算子。
In this paper, we completely characterize nuclear Volterra composition operators $T^ϕ_g : \mathcal H^\infty_ν\longrightarrow \mathcal H^\infty_μ$ and $S^ϕ_g : \mathcal H^\infty_ν\longrightarrow \mathcal H^\infty_μ$ acting between weighted type spaces in terms of the symbols $g$ and $ϕ$ of $T^ϕ_g$ and $S^ϕ_g$ and weights $ν$ and $μ$, when the weights $ν$ and $μ$ are normal weights in the sense of Shields and Williams. Moreover, nuclear Volterra composition operators acting between little weighted type spaces and Bloch spaces of order $β$ are also characterized.
