Free interpolation by nonvanishing analytic functions

DOI10.1090/S0002-9947-07-04186-4zbMath1141.30010OpenAlexW1979700066MaRDI QIDQ3443139

Konstantin M. Dyakonov, Artur Nicolau

Publication date: 31 May 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-07-04186-4

zbMATH Keywords

thin interpolating sequencesnon-vanishing analytic functions

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Spaces of bounded analytic functions of one complex variable (30H05)

Related Items

Interpolation problems on the spectrum of \(H^{\infty}\) ⋮ Noncoherent uniform algebras in $\mathbb {C}^n$ ⋮ Thin sequences and their role in \(H^p\) theory, model spaces, and uniform algebras ⋮ Thin Interpolating Sequences ⋮ Interpolating Blaschke products and angular derivatives ⋮ Interpolating with outer functions ⋮ Cyclic Blaschke products for composition operators ⋮ Boundary Gauss-Lucas type theorems on the disk

Cites Work

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• Interpolation in the Nevanlinna and Smirnov classes and harmonic majorants
• Estimates for the corona problem
• Interpolating sequences and separation properties
• Interpolating Blaschke products solving Pick-Nevanlinna problems
• Moment problems for bounded functions
• Interpolating Sequences for QA B
• ASYMPTOTIC INTERPOLATING SEQUENCES IN UNIFORM ALGEBRAS
• On the Interpolation of Bounded Sequences by Bounded Functions

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