论文标题
构图运算符的界限在一般加权的分析功能的牢固空间上
Boundedness of composition operators on general weighted Hardy spaces of analytic functions
论文作者
论文摘要
我们表征了（本质上）降低正数的序列$β$ =（$β$ n），其中H 2（$β$）上的所有组成算子均有限，其中H 2（$β$）是单位磁盘中分析函数f的空间，因此$ \ infty $ \ infty $ n = 0 | c n = 0 | c n | 2 $β$ n <$ \ infty $如果f（z）= $ \ infty $ n = 0 c n z n。当不假定$β$基本上减少时，我们还提供有界性的条件。
We characterize the (essentially) decreasing sequences of positive numbers $β$ = ($β$ n) for which all composition operators on H 2 ($β$) are bounded, where H 2 ($β$) is the space of analytic functions f in the unit disk such that $\infty$ n=0 |c n | 2 $β$ n < $\infty$ if f (z) = $\infty$ n=0 c n z n. We also give conditions for the boundedness when $β$ is not assumed essentially decreasing.
