Analytic Capacity and Approximation Problems

DOI10.2307/1996389zbMath0263.30032OpenAlexW4238454734MaRDI QIDQ5679110

Alexander M. Davie

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/1996389

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Approximation in the complex plane (30E10) Capacity and harmonic measure in the complex plane (30C85)

Related Items

Painlevé's problem and the semiadditivity of analytic capacity. ⋮ Approximation in the mean by rational functions ⋮ Computation of analytic capacity and applications to the subadditivity problem ⋮ Unnamed Item ⋮ On removable sets for holomorphic functions ⋮ Boundary values of holomorphic distributions in negative Lipschitz classes ⋮ The structure of certain spaces of analytic functions ⋮ Distance Estimates and Pointwise Bounded Density ⋮ Aspects of approximation theory for functions of one complex variable ⋮ Lipschitz approximation on closed sets ⋮ BMO Rational Approximation and One-Dimensional Hausdorff Content ⋮ Thomson’s theorem on mean square polynomial approximation ⋮ An extension of Mel'nikov's theorem ⋮ Pervasive algebras of analytic functions ⋮ Pointwise Bounded Approximation and Analytic Capacity of Open Sets

Cites Work

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• An approximation theorem for subalgebras of \(H^\infty\)
• Dirichlet algebras of analytic functions
• Real annihilating measures for \(R(K)\)
• Bounded approximation and Dirichlet sets
• Pointwise bounded approximation and Dirichlet algebras
• Analytic capacity and measure
• Адамаровы разложения полупростых ассоциативных алгебр
• Constructive Techniques in Rational Approximation
• $R(X)$ as a Dirichlet Algebra and Representation of Orthogonal Measures by Differentials.

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