Cyclic vectors in Bergman spaces

DOI10.1080/17476933.2021.1906661zbMath1494.30090OpenAlexW3144476258MaRDI QIDQ5085420

Miron B. Bekker, Joseph A. Cima

Publication date: 27 June 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2021.1906661

zbMATH Keywords

Bergman spacespirallike functionscyclic vectorsfunctions of bounded boundary rotationclose-to convex-functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Cyclic vectors, hypercyclic and chaotic operators (47A16) Bergman spaces and Fock spaces (30H20)

Cites Work

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• The majorization function and the index of invariant subspaces in the Bergman spaces.
• Invariant subspaces, dilation theory, and the structure of the predual of a dual algebra. I
• Analytic functions with bounded mean oscillation and logarithms of \(H^p\) functions
• Three notes on perfect linear sets
• On two problems concerning linear transformations in Hilbert space
• Cyclic Nevanlinna Class Functions in Bergman Spaces
• On functions of bounded boundary rotation I

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