Some sufficient conditions for the division property of invariant subspaces in weighted Bergman spaces

DOI10.1006/jfan.1996.2998zbMath0888.47003OpenAlexW2073318098MaRDI QIDQ676207

Alexandru Aleman, Stephan Richter

Publication date: 13 May 1998

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/4c78767a3c4034c009fc86fc8f5f55088b268a20

zbMATH Keywords

invariant subspacesweighted Bergman spacesmultiplication operatorshift operatorboundary behaviourdivision propertylocal boundary behaviourlocally Nevanlinnaunweighted Bergman space

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Invariant subspaces of linear operators (47A15) Linear operators on function spaces (general) (47B38) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (5)

The majorization function and the index of invariant subspaces in the Bergman spaces. ⋮ Structure of the kernels associated with invariant subspaces of the Bergman shift ⋮ A characterization of Dirichlet-inner functions ⋮ Analytic contractions, nontangential limits, and the index of invariant subspaces ⋮ Linear graph transformations on spaces of analytic functions

Cites Work

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• Invariant Subspaces in Banach Spaces of Analytic Functions
• Regular Sets of Sampling and Interpolation for Weighted Bergman Spaces
• Hankel operators, best approximations, and stationary Gaussian processes
• Invariant subspaces with the codimension one property in L^{t\mu}
• Interpolating sequences and invariant subspaces of given index in the Bergman spaces.

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