The analytic content is not semiadditive

DOI10.1007/S13324-024-00994-ZMaRDI QIDQ6653889

P. M. Gauthier, E. S. Zeron

Publication date: 17 December 2024

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

zbMATH Keywords

rational functionsuniform approximationanalytic content

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Polynomials and rational functions of one complex variable (30C10) Algebras of analytic functions of one complex variable (30H50)

Cites Work

• Title not available (Why is that?)
• Analytic capacity, the Cauchy transform, and non-homogeneous Calderón-Zygmund theory
• Annihilating measures of the algebra R(X)
• Painlevé's problem and the semiadditivity of analytic capacity.
• Analytic capacity and rational approximation
• On parts of algebras of analytic functions and measures orthogonal to these algebras
• Symmetry and Uniform Approximation by Analytic Functions
• The Isoperimetric Inequality and Rational Approximation
• The semiadditivity of continuous analytic capacity and the inner boundary conjecture
• Rational Approximation on the Union of Sets

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