We study a certain operator of multiplication by monomials in the weighted Bergman space both in the unit disk of the complex plane and in the polydisk of the n -dimensional complex plane. Characterization of the commutant of such operators is given.

中文翻译：

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多盘上加权伯格曼空间中乘法运算符的换向

我们在复平面的单位圆盘和 n 维复平面的多圆盘中研究了加权伯格曼空间中单项式乘法的某个算子。给出了这些算子的换算子的特征。