On finitely generated closed ideals in \(H^{\infty}(D)\)

DOI10.5802/aif.1032zbMath0564.46044OpenAlexW2327153070MaRDI QIDQ1058115

Jean Bourgain

Publication date: 1985

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1985__35_4_163_0

zbMATH Keywords

Carleson solution to the corona problemspace of bounded analytic functions on the open unit disc

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Ideals, maximal ideals, boundaries (46J20) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items

Stabilization in \(H_{\mathbb R}^\infty (\mathbb D)\) ⋮ Alling's conjecture on closed prime ideals in \(H^ \infty\) ⋮ 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 \(H^{\infty }\) ⋮ The stable rank of the algebra \(H^ \infty\) equals 1 ⋮ Factorization of Blaschke products and primary ideals in \(H^{\infty }\) ⋮ Estimates in the corona theorem and ideals of \(H^\infty\): a problem of T. Wolff. ⋮ Closures of finitely generated ideals in Hardy spaces ⋮ Gleason parts and countably generated closed ideals in $H^\infty $ ⋮ Higher order hulls in \(H^\infty\). II

Cites Work

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• Approximation of harmonic functions
• Interpolations by bounded analytic functions and the corona problem