The interpolating sets for \(A^ \infty\)

DOI10.1016/0022-247X(71)90037-0zbMath0228.46051OpenAlexW2069171567MaRDI QIDQ2549845

D. L. Williams, B. Alan Taylor, Herbert J. Alexander

Publication date: 1971

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(71)90037-0

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) Interpolation in approximation theory (41A05)

Related Items (12)

Ensembles de zéros et d'interpolation à la frontière de domaines strictement pseudoconvexes. (Zero sets and interpolation on the boundary of strictly pseudoconvex domains) ⋮ Uniqueness and free interpolation for logarithmic potentials and the Cauchy problem for the Laplace equation in \(\mathbb{R}^ 2\) ⋮ Propriétés de division par des fonctions de $A\sp{\infty}(D)$ ⋮ Unnamed Item ⋮ Interpolation by analytic functions smooth up to the boundary ⋮ Free interpolation in \(H^\infty\) and in some other classes of functions. II ⋮ Boundary Interpolation Sets for Holomorphic Functions Smooth to the Boundary and BMO ⋮ Restriction spaces of \(A^\infty\) ⋮ Free interpolation in \(H\infty\) and in some other function classes ⋮ Peak sets and boundary interpolation sets for the unit disc: a survey ⋮ Nonclassical interpolation in spaces of analytic functions smooth up to the boundary ⋮ Interpolation by holomorphic functions smooth to the boundary in the unit ball of \({\mathbb{C}}^ n\)

Cites Work

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• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Existence of entire functions of one variable with prescribed indicator
• Zeros of Lipschitz functions analytic in the unit disc
• Holomorphic functions with infinitely differentiable boundary values
• Sets of uniqueness for functions regular in the unit circle
• The Closed Ideals in an Algebra of Analytic Functions
• Measures Orthogonal to Algebras and Sets of Antisymmetry
• Uniform Approximation on Compact Sets in $\mathsf{C}^n$.
• Ideals in Rings of Analytic Functions with Smooth Boundary Values

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