Czechoslovak Mathematical Journal, Vol. 71, No. 1, pp. 1-19, 2021
Reducing subspaces of Toeplitz operators on Dirichlet type spaces of the bidisk
Hongzhao Lin, Zhongming Teng
Received March 16, 2019. Published online September 29, 2020.
Abstract: 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.
Keywords: reducing subspace; Toeplitz operator; Dirichlet type space; bidisk
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Affiliations: Hongzhao Lin (corresponding author), Zhongming Teng, College of Computer and Information Sciences, Fujian Agriculture and Forestry University, Fujian 350002, P. R. China, e-mail: hzl_076@163.com, peter979@163.com
