Univalent mappings and invariant subspaces of the Bergman and Hardy spaces

DOI10.1090/S0002-9939-02-06646-7zbMath1015.30029OpenAlexW1536130425MaRDI QIDQ4787510

Brent J. Carswell

Publication date: 7 January 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06646-7

zbMATH Keywords

Hardy spaceBergman spaceinvariant subspacemultiplication operatorreproducing kernelweak-star generatorwandering property

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

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On the wandering property in Dirichlet spaces ⋮ Analytic 𝑚-isometries without the wandering subspace property

Cites Work

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• Density of the polynomials in Bergman spaces
• Remarks concerning cyclic vectors in Hardy and Bergman spaces
• Polynomial approximation in the mean with respect to harmonic measure on crescents. II
• Beurling's theorem for the Bergman space
• Wandering property in the Hardy space
• Invariant subspaces and unstarred operator algebras
• Weak-star generators of \(H^ \infty\)
• On two problems concerning linear transformations in Hilbert space
• A factorization theorem for square area-integrable analytic functions.
• Density of the Polynomials in the Hardy Space of Certain Slit Domains
• Multiplication invariant subspaces of the Bergman space

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