Bounded universal functions for sequences of holomorphic self-maps of the disk

DOI10.1007/s11512-008-0083-zzbMath1195.30069OpenAlexW2094873679MaRDI QIDQ1042552

Pamela Gorkin, Raymond Mortini, Sophie Grivaux, Frederic Bayart

Publication date: 14 December 2009

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11512-008-0083-z

zbMATH Keywords

unit diskspace of analytic functionsalgebra of bounded analytic functions

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Blaschke products (30J10)

Related Items (9)

Large vector spaces generated by bounded universal functions ⋮ Non-weakly supercyclic weighted composition operators ⋮ Superposition operators, \(\mathcal B\)-universal functions, and the hyperbolic composition operator ⋮ Weighted composition operators and supercyclicity criterion ⋮ Quasi-universal functions for sequences of composition operators on \(H ^{2}\) via Hoffman's theory ⋮ Common bounded universal functions for composition operators ⋮ Linear factorization of hypercyclic functions for differential operators ⋮ Some examples of hypercyclic operators and universal sequences of operators ⋮ Universal functions for composition operators with non-automorphic symbol

Cites Work

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• How to get universal inner functions
• Composition operators and classical function theory
• Composition of inner functions
• Weakly compact composition operators on VMO.
• Radial limits of interpolating Blaschke products
• Non-finite dimensional closed vector spaces of universal functions for composition operators
• Bounded universal functions in one and several complex variables
• A universal Blaschke product
• The Existence of Universal Inner Functions on the Unit Ball of ℂⁿ
• Infinite dimensional universal subspaces generated by Blaschke products
• Somewhere dense orbits are everywhere dense
• Universal Blaschke products
• Universal Singular Inner Functions
• The Hypercyclicity Criterion for sequences of operators
• Universal functions for composition operators
• A note on birkhoff open sets
• An Infinite Dimensional Vector Space of Universal Functions for H^∞ of the Ball

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