Blaschke products satisfying the Carleson-Newman conditions and ideals of the algebra \(H^{\infty}\)

DOI10.1007/BF01665046zbMath0654.30026MaRDI QIDQ1108409

V. A. Tolokonnikov

Publication date: 1988

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

zbMATH Keywords

divisorCarleson measureBlaschke productbounded analytic functionsShilov boundary

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (11)

Frostman shifts of inner 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 ⋮ Factorization of Blaschke products and ideal theory in \(H^{\infty }\) ⋮ Generating sets for ideals of finite type in \(H^\infty\) ⋮ Interpolation in model spaces ⋮ Inner functions as improving multipliers ⋮ Factorization of Blaschke products and primary ideals in \(H^{\infty }\) ⋮ Converse growth estimates for ODEs with slowly growing solutions ⋮ Gleason parts and countably generated closed ideals in $H^\infty $ ⋮ Higher order hulls in \(H^\infty\). II

Cites Work

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• Traces of bounded analytic functions on finite unions of Carleson sets
• Interpolating Blaschke products and the ideals of the algebra \(H^{\infty}\)
• Estimates in the Carleson corona theorem, ideals of the algebra \(H^\infty\), a problem of Sz.-Nagy
• A corona theorem for countably many functions
• Bounded analytic functions and Gleason parts

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