- Turkish Journal of Mathematics
- Vol: 42 Issue: 1
- Reducing subspaces of Toeplitz operators on Dirichlet type spaces of the bidisk
Reducing subspaces of Toeplitz operators on Dirichlet type spaces of the bidisk
Authors : Hongzhao Lin
Pages : 227-242
View : 7 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
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.Keywords : Reducing subspace, Toeplitz operator, Dirichlet type spaces, bidisk