Universal Blaschke products

DOI10.1017/S0305004103007023zbMath1065.30032OpenAlexW1970844899MaRDI QIDQ4461227

Raymond Mortini, Pamela Gorkin

Publication date: 30 March 2004

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004103007023

zbMATH Keywords

interpolationcomposition operatorsmaximal ideal spacebounded analytic functionscyclic vectorshyperbolic automorphism

Mathematics Subject Classification ID

Related Items (21)

Interpolation problems on the spectrum of \(H^{\infty}\) ⋮ Convex-transitive Douglas algebras ⋮ Large vector spaces generated by bounded universal functions ⋮ Thin sequences in the corona of \(H ^{\infty }\) ⋮ Norm-attaining integral operators on analytic function spaces ⋮ On Blaschke products, Bloch functions and normal functions ⋮ Partial regularity and \(t\)-analytic sets for Banach function algebras ⋮ Quasi-universal functions for sequences of composition operators on \(H ^{2}\) via Hoffman's theory ⋮ Bounded universal functions in one and several complex variables ⋮ Universality on higher order Hardy spaces ⋮ A new class of inner functions uniformly approximable by interpolating Blaschke products ⋮ Norm-attaining composition operators on the Bloch spaces ⋮ Common bounded universal functions for composition operators ⋮ Cyclic Blaschke products for composition operators ⋮ ISOMETRIES AND SPECTRA OF MULTIPLICATION OPERATORS ON THE BLOCH SPACE ⋮ Universal locally univalent functions and universal conformal metrics with constant curvature ⋮ Some examples of hypercyclic operators and universal sequences of operators ⋮ Bounded universal functions for sequences of holomorphic self-maps of the disk ⋮ Universal functions for composition operators with non-automorphic symbol ⋮ Isometries of the Bloch space among the composition operators ⋮ Infinite dimensional universal subspaces generated by Blaschke products

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