ASYMPTOTIC INTERPOLATING SEQUENCES IN UNIFORM ALGEBRAS

DOI10.1112/S0024610702004039zbMath1054.46036MaRDI QIDQ4467844

Pamela Gorkin, Raymond Mortini

Publication date: 10 June 2004

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

zbMATH Keywords

uniform algebrasBlaschke productsinterpolating sequencessupport setsasymptotic interpolation

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15)

Related Items (16)

Free interpolation by nonvanishing analytic functions ⋮ Interpolation problems on the spectrum of \(H^{\infty}\) ⋮ Noncoherent uniform algebras in $\mathbb {C}^n$ ⋮ Large vector spaces generated by bounded universal functions ⋮ Thin sequences in the corona of \(H ^{\infty }\) ⋮ Thin sequences and their role in \(H^p\) theory, model spaces, and uniform algebras ⋮ Thin Interpolating Sequences ⋮ Sums of holomorphic selfmaps of the unit disk. II. ⋮ Unitary stable ranks and norm-one ranks ⋮ Interpolating Blaschke products and angular derivatives ⋮ One-component inner functions ⋮ Bounded universal functions in one and several complex variables ⋮ Thin sequences and their role in model spaces and Douglas algebras ⋮ Universal functions for composition operators with non-automorphic symbol ⋮ Boundary Gauss-Lucas type theorems on the disk ⋮ Cluster sets of interpolating Blaschke products

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