论文标题
$ \ mathbb {c}^n $中有限pseudoconvex域的伯格曼空间上的组成操作员的紧凑性
Compactness of composition operators on the Bergman space of bounded pseudoconvex domains in $\mathbb{C}^n$
论文作者
论文摘要
我们研究了$ \ Mathbb {C}^n $中某些有界pseudoconvex域的伯格曼空间上的组成操作员的紧凑性，边界中包含的非平凡分析磁盘。结果，我们表征了构图算子的紧凑性，该构图算子具有圆锥形，连续的符号（直至闭合）在polydisk的伯格曼空间上。
We study the compactness of composition operators on the Bergman spaces of certain bounded pseudoconvex domains in $\mathbb{C}^n$ with non-trivial analytic disks contained in the boundary. As a consequence we characterize that compactness of the composition operator with a holomorphic, continuous symbol (up to the closure) on the Bergman space of the polydisk.
