On the Dirichlet Space for Finitely Connected Regions

DOI10.2307/2001261zbMath0727.46011OpenAlexW4255745512MaRDI QIDQ3349430

Kit C. Chan

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2001261

zbMATH Keywords

Hilbert space of analytic functionsalgebra of all multipliersbounded multiplication operators on the Dirichlet spacefinite codimensional closed subspacestransitive operator algebras containing all bounded multiplication operators

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Spaces of bounded analytic functions of one complex variable (30H05) Linear operators on function spaces (general) (47B38) Hilbert spaces of continuous, differentiable or analytic functions (46E20) General theory of topological algebras (46H05)

Related Items (1)

Interpolating sequence on certain Banach spaces of analytic functions

Cites Work

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• Univalent multipliers of the Dirichlet space
• Removable sets of analytic functions satisfying a Lipschitz condition
• A density theorem for operator algebras
• Cyclic Vectors in the Dirichlet Space
• Finite Codimensional Invariant Subspaces of Bergman Spaces

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