Large sets of zero analytic capacity

DOI10.1090/S0002-9939-01-06261-XzbMath1062.30025MaRDI QIDQ2750849

Stan Yoshinobu, John B. Garnett

Publication date: 21 October 2001

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

zbMATH Keywords

Cantor setharmonic measureHausdorff measureanalytic capacity

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Capacity and harmonic measure in the complex plane (30C85) Hausdorff and packing measures (28A78) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (1)

The planar Cantor sets of zero analytic capacity and the local 𝑇(𝑏)-Theorem

Cites Work

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• Hausdorff measure and capacity associated with Cauchy potentials
• On the analytic capacity and curvature of some Cantor sets with non-\(\sigma\)-finite length
• The Cauchy integral, analytic capacity, and uniform rectifiability
• Analytic capacity and measure
• Analytic capacity: discrete approach and curvature of measure

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