Cyclicity in weighted Bergman type spaces

DOI10.1016/j.matpur.2014.03.002zbMath1304.30072arXiv1304.0994OpenAlexW2963331101MaRDI QIDQ472935

Alexander Borichev, Omar El-Fallah, Abdelouahab Hanine

Publication date: 20 November 2014

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.0994

zbMATH Keywords

weighted Bergman spacecyclic vectoratomic inner function

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Cyclic vectors, hypercyclic and chaotic operators (47A16) Bergman spaces and Fock spaces (30H20)

Cites Work

• Blaschke-type conditions for analytic and subharmonic functions in the unit disk: local analogs and inverse problems
• A criterical growth rate for functions regular in a disk
• Completeness of translates in weighted spaces on the half-line
• A critical topology in harmonic analysis on semigroups
• Cyclicity of singular inner functions from the corona theorem
• An extension of the Riesz-Herglotz formula
• A Blaschke-type condition and its application to complex Jacobi matrices
• On the analytic transform of bounded linear functionals on certain Banach algebras
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