Invariant subspaces and reducing subspaces of weighted Bergman space over bidisk

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  • Lu Yufeng
    School of Mathematical Sciences, Dalian University of Technology
  • Zhou Xiaoyang
    School of Mathematical Sciences, Dalian University of Technology

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Abstract

In this paper, we study the invariant subspace and reducing subspace of the weighted Bergman space over bidisk. The minimal reducing subspace of Toeplitz operator TzN = Tz<sub>1N z2N</sub> is completely described, and Beurling-type theorem of some invariant subspace of the weighted Bergman space over bidisk is also obtained.

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