Reducibility for a class of analytic multipliers on Sobolev disk algebra

DOI10.1007/s10473-021-0202-5zbMath1502.47044OpenAlexW3126987860MaRDI QIDQ2154848

Yong Chen, Ya Liu, Chuntao Qin

Publication date: 15 July 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-021-0202-5

zbMATH Keywords

multiplierreducing subspacefinite Blaschke productSobolev disk algebra

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Blaschke products (30J10)

Cites Work

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• Reducing subspaces of multiplication operators on the Dirichlet space
• Reducing subspaces for analytic multipliers of the Bergman space
• Reducibility for a class of analytic multipliers on the Dirichlet space
• Reducing subspaces for multiplication operators on the Dirichlet space through local inverses and Riemann surfaces
• Reducing subspace of analytic Toeplitz operators on the Bergman space
• Reducibility and unitary equivalence of analytic multipliers on Sobolev disk algebra
• On similarity and reducing subspaces of multiplication operator on Sobolev disk algebra
• Reducibility and unitarily equivalence for a class of analytic multipliers on the Dirichlet space
• Reducing subspaces for a class of multiplication operators on the Dirichlet space
• Classification of Reducing Subspaces of a Class of Multiplication Operators on the Bergman Space via the Hardy Space of the Bidisk
• Multiplication operators on the Bergman space via the Hardy space of the bidisk
• The Commutant of a Class of Analytic Toeplitz Operators
• The Commutant of an Analytic Toeplitz Operator
• Reducing subspaces of weighted shift operators
• Generalized Factorization in Hardy Spaces and the Commutant of Toeplitz Operators
• Reducibility and unitary equivalence for a class of multiplication operators on the Dirichlet space

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