On quasi-similarity of multiplication operator on the weighted Bergman space in the unit ball

zbMath1504.47053arXiv2102.03576MaRDI QIDQ5038006

Ya Wang, Cui Chen, Yu-Xia Liang

Publication date: 29 September 2022

Full work available at URL: https://arxiv.org/abs/2102.03576

zbMATH Keywords

multiplication operatorweighted Bergman spacequasi-similarity

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Bergman spaces of functions in several complex variables (32A36)

Cites Work

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• On similarity and reducing subspaces of multiplication operator on Sobolev disk algebra
• Invariant subspaces of parabolic self-maps in the Dirichlet space
• On quasi-similarity and reducing subspaces of multiplication operator on the Fock space
• Invariant subspaces of the shift plus complex Volterra operator
• Invariant subspaces of parabolic self-maps in the Hardy space

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