Failure of rational approximation on some Cantor type sets

DOI10.1090/S0002-9939-08-09573-7zbMath1162.30012arXiv1902.06233MaRDI QIDQ3605019

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Publication date: 25 February 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.06233

zbMATH Keywords

Cantor setsrational approximationanalytic capacity

Mathematics Subject Classification ID

Capacity and harmonic measure in the complex plane (30C85) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Cites Work

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• Unrectifiable 1-sets have vanishing analytic capacity
• Painlevé's problem and the semiadditivity of analytic capacity.
• The semiadditivity of continuous analytic capacity and the inner boundary conjecture

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