The operator \(M_{z_1^n z_2^n}\) on subspaces of Bergman spaces over the biannulus

DOI10.1016/j.jmaa.2020.124042zbMath1443.47026OpenAlexW3010916581MaRDI QIDQ2308388

Hui Li, Hyun-Kyoung Kwon, Yu-Cheng Li

Publication date: 3 April 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124042

zbMATH Keywords

Bergman spacesimilaritymultiplication operatorreducing subspacebi-annulus

Mathematics Subject Classification ID

Bergman spaces of functions in several complex variables (32A36) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (1)

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

Cites Work

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• Reducing subspaces of multiplication operators on the Dirichlet space
• Reducing subspaces for analytic multipliers of the Bergman space
• Reducing subspaces on the annulus
• Multiplication operators on the Bergman space via analytic continuation
• Operator theory in the Hardy space over the bidisk. I
• Reducing subspaces for multiplication operators on the Dirichlet space through local inverses and Riemann surfaces
• Reducing subspaces of non-analytic Toeplitz operators on weighted Hardy and Dirichlet spaces of the bidisk
• Reducing subspaces of weighted Hardy spaces on polydisks
• The generalized Berezin transform and commutator ideals
• REDUCING SUBSPACES OF WEIGHTED SHIFTS WITH OPERATOR WEIGHTS
• REDUCING SUBSPACES FOR TOEPLITZ OPERATORS ON THE POLYDISK
• REDUCING SUBSPACES FOR A CLASS OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE OF THE BIDISK
• Hardy Space Expectation Operators and Reducing Subspaces
• Analytic Toeplitz Operators with Automorphic Symbol.II
• Reducing subspaces of weighted shift operators
• Reducing Subspaces for a Class of Multiplication Operators
• Common reducing subspaces of several weighted shifts with operator weights
• Operator theory in the Hardy space over the bidisk. III
• Operator theory in the Hardy space over the bidisk. II
• Invariant subspaces and reducing subspaces of weighted Bergman space over bidisk

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