We obtain a characterization for the commutant of certain weighted shift operators of higher multiplicity. The characterization is based on the realization of the operator as multiplication by monomials on weighted Bergman spaces of the unit disk.

中文翻译：

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一些移位算子的交换

我们获得了某些具有较高多重性的加权移位算子的交换子的刻画。表征基于将运算符实现为单位圆盘的加权Bergman空间上的单项式乘法。