Rational approximation and weak analyticity. II

DOI10.1007/BF01449224zbMath0627.46027OpenAlexW1974979087MaRDI QIDQ1092371

Anthony G. O'Farrell

Publication date: 1988

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164409

zbMATH Keywords

Sobolev spaceHausdorff contentquantitive Morera theoremset of rational functionstheorem of Vitushkin on uniform approximation

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Approximation by rational functions (41A20) Length, area, volume, other geometric measure theory (28A75)

Cites Work

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• Sur les fonctions finement holomorphes
• Annihilators of rational modules
• Analytic capacity and measure
• Continuity Properties of Hausdorff Content
• Hausdorff Content and Rational Approximation in Fractional Lipschitz Norms
• Totally disconnected set non-removable for Lipschitz continous bounded analytic functions.
• Estimates for capacities, and approximation in Lipschitz norms.
• The analytic capacity of sets in problems of approximation theory

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