Classification of Reducing Subspaces of a Class of Multiplication Operators on the Bergman Space via the Hardy Space of the Bidisk

Changyong Zhong; Dechao Zheng; Shunhua Sun

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Classification of Reducing Subspaces of a Class of Multiplication Operators on the Bergman Space via the Hardy Space of the Bidisk

机译：通过Bidisk的Hardy空间分类Bergman空间上一类乘法算子的约化子空间。

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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.

机译：在本文中，我们通过双磁盘的Hardy空间，通过在单位磁盘的Bergman空间上具有四个零的Blaschke积，获得了乘法算子的非平凡最小化约化子空间的完整描述。

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《Canadian Journal of Mathematics》 |2009年第2009期|共页
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Changyong Zhong; Dechao Zheng; Shunhua Sun;
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中图分类数学;
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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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