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Painlevé’s problem, analytic capacity and curvature of measures. (English) Zbl 1095.30021
Laptev, Ari (ed.), Proceedings of the 4th European congress of mathematics (ECM), Stockholm, Sweden, June 27–July 2, 2004. Zürich: European Mathematical Society (EMS) (ISBN 3-03719-009-4/hbk). 459-476 (2005).
Summary: We survey some recent results in connection with the so-called Painlevé’s problem, the semiadditivity of analytic capacity and other related results.
For the entire collection see [Zbl 1064.00004].

MSC:
30C85 Capacity and harmonic measure in the complex plane
31A15 Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions
42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)
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