加权Bergman空间上的解析Toeplitz算子的约化子空间

Reducing Subspace of Analytic Toeplitz Operator on Weighted Bergman Space

证明了加权Bergman空间上以有限Blaschke乘积φ为符号的解析Toeplitz算子B_φ至少存在一个约化子空间M,并且B_φ在M上的的限制酉等价于加权Bergman位移.

For finite Blaschke products φ（z）, it is proved that there exists a reducing subspace M of the Toeplitz operators Bφ on the weighted Bergman space such that Bφ｜M is unitrarily equivalent to the weighted Bergman shift S.