BMO Rational Approximation and One-Dimensional Hausdorff Content

DOI10.2307/2000469zbMath0642.30029OpenAlexW4233976199MaRDI QIDQ3784377

Joan Verdera

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000469

zbMATH Keywords

BMOrational approximationHausdorff content

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Harmonic analysis in several variables (42B99)

Related Items (7)

\(C^ m\) approximation by solutions of elliptic equations, and Calderón-Zygmund operators ⋮ Removable singularities for analytic functions in the little Zygmund space ⋮ Boundary values of holomorphic distributions in negative Lipschitz classes ⋮ Holomorphic Approximation: The Legacy of Weierstrass, Runge, Oka–Weil, and Mergelyan ⋮ Bounded point derivations and functions of bounded mean oscillation ⋮ Distortion of Hausdorff measures and improved Painlevé removability for quasiregular mappings ⋮ BMO and Lipschitz approximation by solutions of elliptic equations

Cites Work

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• Metric conditions for rational approximation
• A constructive method for \(L^p\)-approximation by analytic functions
• Hausdorff measure, BMO, and analytic functions
• Removable singularities of solutions of linear partial differential equations
• Analytic capacity and measure
• Functions of Vanishing Mean Oscillation
• Hausdorff Content and Rational Approximation in Fractional Lipschitz Norms
• Estimates for capacities, and approximation in Lipschitz norms.
• Analytic Capacity and Approximation Problems

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