Rational approximation and weak analyticity. I

DOI10.1007/BF01450728zbMath0563.46022OpenAlexW4247490608MaRDI QIDQ1057453

Anthony G. O'Farrell

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/164063

zbMATH Keywords

Sobolev spacearea measurenonpeak points

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Approximation by rational functions (41A20) Length, area, volume, other geometric measure theory (28A75)

Cites Work

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• Sur les fonctions finement holomorphes
• Bounded point derivations on certain Banach algebras
• ON THE INTERCONNECTION OF LOCAL AND GLOBAL APPROXIMATIONS BY HOLOMORPHIC FUNCTIONS
• Analytic Capacity, Holder Conditions, and τ-Spikes
• Modulus of Approximate Continuity for $R(X)$.
• Shorter Notes: An Extension of Runge's Theorem
• Analytic Capacity and Equicontinuity
• Density of Parts of Algebras on the Plane
• On Uniform Approximation by Rational Functions
• The analytic capacity of sets in problems of approximation theory
• An Example on Rational Approximation
• Bounded Limits of Analytic Functions