Reducing subspaces of analytic Toeplitz operators on the Bergman space of the annulus

DOI10.1007/s11785-019-00957-4zbMath1494.47053OpenAlexW2973848715WikidataQ127227863 ScholiaQ127227863MaRDI QIDQ2279048

An Jian Xu

Publication date: 12 December 2019

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-019-00957-4

zbMATH Keywords

Bergman spaceToeplitz operatorannulusBlaschke product

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Invariant subspaces of linear operators (47A15) Blaschke products (30J10)

Cites Work

• Reducing subspaces for analytic multipliers of the Bergman space
• Reducing subspaces on the annulus
• Multiplication operators on the Bergman space via analytic continuation
• Multiplication operators on the Bergman spaces of pseudoconvex domains
• A class of subnormal operators related to multiply-connected domains
• Reducing subspace of analytic Toeplitz operators on the Bergman space
• The group of the invariants of a finite blaschke product
• Generalized bundle shift with application to multiplication operator on the Bergman space
• Operator Theory and Complex Geometry
• Multiplication operators on the Bergman space via the Hardy space of the bidisk
• The Commutant of a Class of Analytic Toeplitz Operators
• Reducing Subspaces for a Class of Multiplication Operators
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