On the index of invariant subspaces in the space of weak products of Dirichlet functions

DOI10.1007/s11785-014-0419-6zbMath1343.46022OpenAlexW1991030860MaRDI QIDQ496520

Shuaibing Luo

Publication date: 22 September 2015

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-014-0419-6

zbMATH Keywords

invariant subspacesNevanlinna classindexDirichlet spaceweak productspseudocontinuation

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Banach spaces of continuous, differentiable or analytic functions (46E15) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20) Nevanlinna spaces and Smirnov spaces (30H15)

Related Items (2)

A remark on the multipliers on spaces of weak products of functions ⋮ Weak products of complete Pick spaces

Cites Work

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• Bilinear forms on the Dirichlet space
• On the Brown-Shields conjecture for cyclicity in the Dirichlet space
• Factorization theorems for Hardy spaces in several variables
• The predual and second predual of \(W_ \alpha\)
• A characterization of product BMO by commutators.
• Weak products of Dirichlet functions
• On a characterization of bilinear forms on the Dirichlet space
• Function spaces related to the Dirichlet space
• Invariant Subspaces in Banach Spaces of Analytic Functions
• Pseudocontinuations and the backward shift
• Invariant Subspaces of the Dirichlet Shift and Pseudocontinuations

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