A note on reducing subspaces of Toeplitz operator on the weighted analytic function spaces of the bidisk \(H_w^2 \left(\mathbb{D}^2\right)\)

DOI10.1155/2017/5807909zbMath1478.47021OpenAlexW2611599521WikidataQ59146413 ScholiaQ59146413MaRDI QIDQ2397027

Hongzhao Lin

Publication date: 29 May 2017

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/5807909

zbMATH Keywords

Toeplitz operatorsreducing subspaces

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Invariant subspaces of linear operators (47A15) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Cites Work

• REDUCING SUBSPACES FOR TOEPLITZ OPERATORS ON THE POLYDISK
• Multiplication operators on the Bergman space via the Hardy space of the bidisk
• Reducing subspaces of weighted shift operators
• Reducing Subspaces for a Class of Multiplication Operators
• Invariant subspaces and reducing subspaces of weighted Bergman space over polydisc
• Invariant subspaces and reducing subspaces of weighted Bergman space over bidisk
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