Turkish Journal of Mathematics
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, HONGZHAO
(2018)
"Reducing subspaces of Toeplitz operators on Dirichlet type spaces of the bidisk,"
Turkish Journal of Mathematics: Vol. 42:
No.
1, Article 20.
https://doi.org/10.3906/mat-1603-134
Available at:
https://journals.tubitak.gov.tr/math/vol42/iss1/20
