Classification of Reducing Subspaces of a Class of Multiplication Operators on the Bergman Space via the Hardy Space of the Bidisk
Classification of Reducing Subspaces of a Class of Multiplication Operators on the Bergman Space via the Hardy Space of the Bidisk
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DOI：
10.4153/cjm-2010-026-4
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发表时间：
2010-04
期刊：
影响因子：
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通讯作者：
Shunhua Sun;Dechao Zheng;C. Zhong
中科院分区：
文献类型：
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作者：
Shunhua Sun;Dechao Zheng;C. Zhong
本文通过双圆盘上的哈代空间，得到了单位圆盘上Bergman空间上四个零的Blaschke积乘法算子的非平凡极小约化子空间的完整刻画。
Abstract In this paper we obtain a complete description of nontrivial minimal reducing subspaces of the multiplication operator by a Blaschke product with four zeros on the Bergman space of the unit disk via the Hardy space of the bidisk.