Higher order hulls in \(H^\infty\). II

DOI10.1006/JFAN.2000.3636zbMath0982.46035OpenAlexW2040369235MaRDI QIDQ1589670

Pamela Gorkin, Raymond Mortini, Kei-Ji Izuchi

Publication date: 11 October 2001

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2000.3636

zbMATH Keywords

zero setclosed idealinterpolating Blaschke productCarleson-Newman Blaschke productsGleason partspace of maximal idealshigher order zero setspseudohyperbolic derivative

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Ideals, maximal ideals, boundaries (46J20)

Related Items (12)

Gleason parts and closed ideals in Douglas algebras ⋮ On closed ideals in the big Lipschitz algebras of analytic functions ⋮ Closed ideals in weighted big Lipschitz algebras of analytic functions ⋮ Two new characterizations of Carleson-Newman Blaschke products ⋮ From \(\mathcal{H}^\infty\) to \(\mathcal{N}\). Pointwise properties and algebraic structure in the Nevanlinna class ⋮ Finitely generated ideals in the Nevanlinna class ⋮ Factorization of Blaschke products and ideal theory in \(H^{\infty }\) ⋮ Generating sets for ideals of finite type in \(H^\infty\) ⋮ A new class of inner functions uniformly approximable by interpolating Blaschke products ⋮ Factorization of Blaschke products and primary ideals in \(H^{\infty }\) ⋮ Closures of finitely generated ideals in Hardy spaces ⋮ Gleason parts and countably generated closed ideals in $H^\infty $

Cites Work

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• Interpolating Blaschke products and the ideals of the algebra \(H^{\infty}\)
• On finitely generated closed ideals in \(H^{\infty}(D)\)
• Blaschke products satisfying the Carleson-Newman conditions and ideals of the algebra \(H^{\infty}\)
• Support sets and Gleason parts
• Interpolating Blaschke products and factorization in Douglas algebras
• Interpolating sets in the maximal ideal space of \(H^ \infty\)
• Boundary behavior of derivatives of analytic functions
• The generalized corona theorem
• On an example of J. Bourgain on closures of finitely generated ideals
• Inner functions and division in Douglas algebras
• Bounded analytic functions and Gleason parts
• Closed ideals in the ring A\(^n\)
• IDEALS GENERATED BY INTERPOLATING BLASCHKE PRODUCTS
• Interpolating Blaschke Products and Factorization Theorems

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