We study certain integral type operators acting on a large class of Banach spaces of analytic functions on the open unit disc. The operators map into weighted Banach spaces of analytic functions, Bloch type spaces or Zygmund type spaces. Besides characterizing boundedness, we give essential norm estimates of these operators. In order to investigate these operators, we also study weighted differentiation composition operators between these spaces.

中文翻译：

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积分型算子映射到解析函数的某些Banach空间的基本范数

我们研究了作用于开放单元盘上解析函数的一类Banach空间的某些整数型算子。运算符映射到解析函数的加权Banach空间，Bloch类型空间或Zygmund类型空间。除了表征有界性，我们还提供了这些算子的基本范数估计。为了研究这些算子，我们还研究了这些空间之间的加权差分合成算子。