Commutant of multiplication operators in weighted Bergman spaces on polydisk

DOI10.21136/CMJ.2020.0494-18OpenAlexW2999272801MaRDI QIDQ5122217

Ali Abkar

Publication date: 22 September 2020

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/cmj.2020.0494-18

zbMATH Keywords

multiplication operatorweighted Bergman spacecommutant of an operator

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Bergman spaces of functions in several complex variables (32A36) Bergman spaces and Fock spaces (30H20)

Related Items (1)

Composition operators on weighted Bergman spaces of polydisk

Cites Work

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• On the commutant of certain operators in the Bergman space
• Wandering subspaces of the Bergman space and the Dirichlet space over \({{\mathbb{D}^{n}}}\)
• Multiplication operators defined by a class of polynomials on \({L_a^2(\mathbb{D}^2)}\)
• Norm approximation by polynomials in some weighted Bergman spaces
• The pluriharmonic Hardy space and Toeplitz operators
• REDUCING SUBSPACES FOR TOEPLITZ OPERATORS ON THE POLYDISK
• Application of a Riesz-type formula to weighted Bergman spaces
• Reducing Subspaces for a Class of Multiplication Operators
• Spaces of Holomorphic Functions in the Unit Ball

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