Invariant subspaces for classical operators on weighted spaces of holomorphic functions

DOI10.1007/s00020-017-2401-yzbMath1480.47044OpenAlexW2761582171MaRDI QIDQ1686845

Alexander V. Abanin, Pham Trong Tien

Publication date: 18 December 2017

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-017-2401-y

zbMATH Keywords

Bergman spacesinvariant subspacesFock spacesDirichlet spacesBloch spacesdifferentiation operatorintegration operatorweighted spaces of holomorphic functions

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (2)

Invariant subspaces of the integration operators on Hörmander algebras and Korenblum type spaces ⋮ Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey

Cites Work

• Integral operators, embedding theorems and a Littlewood-Paley formula on weighted Fock spaces
• The essential norm of weighted composition operators on weighted Banach spaces of analytic functions
• Embedding theorems and integration operators on Bergman spaces with rapidly decreasing weights
• On similarity, reducing manifolds, and unitary equivalence of certain Volterra operators
• Volterra invariant subspaces of \(H^p\)
• Weighted spaces of holomorphic functions on balanced domains
• Compactness of classical operators on weighted Banach spaces of holomorphic functions
• Invariant subspaces of weighted shift operators
• A remark on the Volterra operator
• A Volterra-type integration operator on Fock spaces
• Weighted Bergman spaces induced by rapidly incresing weights
• Differentiation and integration operators on weighted Banach spaces of holomorphic functions
• Translation operators on weighted spaces of entire functions
• On the boundedness of the differentiation operator between weighted spaces of holomorphic functions
• INVARIANT SUBSPACES OF WEIGHTED SHIFT OPERATORS
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