Cyclicity in Dirichlet type spaces

DOI10.1090/conm/743/14960zbMath1460.47006OpenAlexW3006374638MaRDI QIDQ3295977

Mohamed Zarrabi, Florian Le Manach, Karim Kellay

Publication date: 3 July 2020

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

Full work available at URL: https://doi.org/10.1090/conm/743/14960

zbMATH Keywords

Bergman spacesouter functionscyclicityDirichlet spacesSmirnov space

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) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Cites Work

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• Invariant subspaces in Banach spaces of analytic functions
• Cantor sets and cyclicity in weighted Dirichlet spaces
• Cyclicity in the Dirichlet space
• On the Brown-Shields conjecture for cyclicity in the Dirichlet space
• Carleson measures and multipliers for Dirichlet spaces
• Cyclic inner functions in the Bergman spaces and weak outer functions in \(H^ p\), \(0<p<1\)
• Sets of uniqueness for functions regular in the unit circle
• Cyclic Vectors in the Dirichlet Space
• Invariant Subspaces of the Dirichlet Shift and Pseudocontinuations
• A Primer on the Dirichlet Space
• Bounded Analytic Functions
• Ideals in Rings of Analytic Functions with Smooth Boundary Values

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