Reducing subspaces for Toeplitz operator \(T_{z_1^{k_1} z_2^{k_2} + a\overline{z}_1^{l_1}\overline{z}_2^{l_2}}\) on the weighted Hardy space over the bidisk
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Publication:2138121
DOI10.1155/2022/4288928OpenAlexW4220747045MaRDI QIDQ2138121
Xin Ding, Yan Yue Shi, ChangGuo Wei
Publication date: 11 May 2022
Published in: Journal of Function Spaces (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2022/4288928
Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35)
Cites Work
- Reducing subspaces of tensor products of weighted shifts
- Reducing subspaces for analytic multipliers of the Bergman space
- Reducing subspaces of multiplication operators with the symbol \(\alpha z^k+\beta w^l\) on \(L_a^2 (\mathbb D^2)\)
- Reducing subspaces of non-analytic Toeplitz operators on weighted Hardy and Dirichlet spaces of the bidisk
- Reducing subspaces for a class of nonanalytic Toeplitz operators
- Multiplication operators defined by twisted proper holomorphic maps on Bergman spaces
- The operator \(M_{z_1^n z_2^n}\) on subspaces of Bergman spaces over the biannulus
- Multiplication operators on the Bergman space
- REDUCING SUBSPACES OF WEIGHTED SHIFTS WITH OPERATOR WEIGHTS
- Reducing Subspaces for a Class of Multiplication Operators
- Reducing subspaces of Toeplitz operators on Dirichlet type spaces of the bidisk
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