Hilbert spaces of analytic functions between the Hardy and the Dirichlet space
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- by Alexandru Aleman PDF
- Proc. Amer. Math. Soc. 115 (1992), 97-104 Request permission
Abstract:
For a large class of Hilbert spaces of analytic functions in the unit disc lying between the Hardy and the Dirichlet space we prove that each element of the space is the quotient of two bounded functions in the same space. It follows that the multiplication operator on these spaces is cellular indecomposable and that each invariant subspace contains nontrivial bounded functions.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 115 (1992), 97-104
- MSC: Primary 46E20; Secondary 30D50
- DOI: https://doi.org/10.1090/S0002-9939-1992-1079693-X
- MathSciNet review: 1079693