Two new characterizations of Carleson-Newman Blaschke products

DOI10.1007/s11856-010-0046-5zbMath1217.30050OpenAlexW2020372756MaRDI QIDQ611030

Raymond Mortini, Pamela Gorkin

Publication date: 13 December 2010

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-010-0046-5

zbMATH Keywords

interpolating Blaschke productweak embedding property

Mathematics Subject Classification ID

Inner functions of one complex variable (30J05) Blaschke products (30J10)

Related Items (8)

Weak embedding property, inner functions and entropy ⋮ From \(\mathcal{H}^\infty\) to \(\mathcal{N}\). Pointwise properties and algebraic structure in the Nevanlinna class ⋮ Generalized Carleson-Newman inner functions ⋮ Generating sets for ideals of finite type in \(H^\infty\) ⋮ The Corona property in Nevanlinna quotient algebras and interpolating sequences ⋮ Norm controlled inversions and a corona theorem for \(H^\infty \)-quotient algebras ⋮ MÖBIUS INVARIANT FUNCTION SPACES AND DIRICHLET SPACES WITH SUPERHARMONIC WEIGHTS ⋮ A new class of inner functions uniformly approximable by interpolating Blaschke products

Cites Work

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• Norm controlled inversions and a corona theorem for \(H^\infty \)-quotient algebras
• Blaschke products satisfying the Carleson-Newman conditions and ideals of the algebra \(H^{\infty}\)
• Interpolating Blaschke products and factorization in Douglas algebras
• Discrete Carleson measures and some interpolation problems
• Higher order hulls in \(H^\infty\). II
• Frostman shifts of inner functions
• Bounded analytic functions and Gleason parts
• Stable Rank and Approximation Theorems in H ∞
• Interpolating sequences in the spectrum of $H^\infty $ I
• Some Lemmas on Interpolating Blaschke Products and a Correction

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