论文标题
Dirichlet空间上的组成分化操作员
Composition-differentiation operators on the Dirichlet space
论文作者
论文摘要
我们研究作用于单元磁盘差异空间的组成分化操作员。具体而言,我们确定有界,紧凑和希尔伯特 - 施密特组成分化算子的特征。另外,对于特定类别的诱导地图,我们得出了伴随公式,计算标准并识别频谱。
We investigate composition-differentiation operators acting on the Dirichlet space of the unit disk. Specifically, we determine characterizations for bounded, compact, and Hilbert-Schmidt composition-differentiation operators. In addition, for particular classes of inducing maps, we derive an adjoint formula, compute the norm, and identify the spectrum.