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Keywords:
reducing subspace; Toeplitz operator; Dirichlet type space; bidisk
reducing subspace; Toeplitz operator; Dirichlet type space; bidisk
Summary:
The reducing subspaces of Toeplitz operators $T_{z_1^N\bar {z}_2^M}$ on Dirichlet type spaces of the ${\mathcal {D}}_\alpha ({\mathbb {D}}^2)$ are described, which extends the results for the corresponding operators on Bergman spaces of the bidisk.
References:
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