关于Bergman 空间上复合算子的复对称性

On complex symmetry of composition operators on Bergman space

摘要:

设D为复平面C上的单位圆盘. 本文给出了Bergman 空间上的复合算子是复对称的充要条件，进而得到了Bergman 空间上是复对称而非正规的复合算子的例子.

Abstract:

In this paper, we discuss about the necessary and sufficient conditions for the composition operators on the Bergman space, meanwhile give complex symmetric composition operators on Bergman space whose symbols are linear-fractional but not automorphic.