Abstract

The reducing subspaces of Toeplitz operators $T_{z_1^N}$(or $T_{z_2^N}$), $T_{z_1^Nz_2^N}$, and $T_{z_1^Nz_2^M}$ on Dirichlet type spaces of the bidisk ${\mathcal{D}}_\alpha({{{\mathbb{D}}}^{2}})$ are described, which extends the results for the corresponding operators on the Bergman space of the bidisk.

DOI

10.3906/mat-1603-134

Keywords

Reducing subspace, Toeplitz operator, Dirichlet type spaces, bidisk

First Page

227

Last Page

242

Recommended Citation

LIN, H (2018). Reducing subspaces of Toeplitz operators on Dirichlet type spaces of the bidisk. Turkish Journal of Mathematics 42 (1): 227-242. https://doi.org/10.3906/mat-1603-134

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