@Article{CMR-25-19,
author = {Wu , Yan and Xu , Xianmin},
title = {Reducing Subspaces of Toeplitz Operators on $N_ϕ$-Type Quotient Modules on the Torus},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {25},
number = {1},
pages = {19--29},
abstract = {<p style="text-align: justify;">In this paper, we prove that the Toeplitz operator with finite Blaschke
product symbol $S_{ψ(z)}$ on $N_ϕ$ has at least $m$ non-trivial minimal reducing subspaces,
where $m$ is the dimension of $H^2(Γ_ω) ⊖ ϕ(ω)H^2
(Γ_ω)$. Moreover, the restriction
of $S_{ψ(z)}$ on any of these minimal reducing subspaces is unitary equivalent to the
Bergman shift $M_z$.</p>},
issn = {2707-8523},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/cmr/19071.html}
}