The planar Cantor sets of zero analytic capacity and the local 𝑇(𝑏)-Theorem
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Publication:4780394
DOI10.1090/S0894-0347-02-00401-0zbMath1016.30020MaRDI QIDQ4780394
Joan Mateu, Joan Verdera, Xavier Tolsa
Publication date: 19 November 2002
Published in: Journal of the American Mathematical Society (Search for Journal in Brave)
Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Capacity and harmonic measure in the complex plane (30C85)
Related Items (10)
Painlevé's problem and the semiadditivity of analytic capacity. ⋮ Quasiconformal maps, analytic capacity, and non linear potentials ⋮ The precise representative for the gradient of the Riesz potential of a finite measure ⋮ Calderón-Zygmund capacities and Wolff potentials on Cantor sets ⋮ Capacities associated with Calderón-Zygmund kernels ⋮ Cauchy transforms of self-similar measures: Starlikeness and univalence ⋮ Cauchy independent measures and almost-additivity of analytic capacity ⋮ Measures that define a compact Cauchy transform ⋮ Symmetry theorems and uniform rectifiability ⋮ The power law for the Buffon needle probability of the four-corner Cantor set
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