On the analytic capacity and curvature of some Cantor sets with non-\(\sigma\)-finite length

DOI10.5565/PUBLMAT_40196_12zbMath0888.30026MaRDI QIDQ1918341

Pertti Mattila

Publication date: 31 July 1996

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/41245

zbMATH Keywords

Hausdorff measureCantor setsMenger three-points curvature

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Capacity and harmonic measure in the complex plane (30C85) Hausdorff and packing measures (28A78)

Related Items (15)

The planar Cantor sets of zero analytic capacity and the local 𝑇(𝑏)-Theorem ⋮ Quasiconformal maps, analytic capacity, and non linear potentials ⋮ Singular integrals, analytic capacity and rectifiability ⋮ Calderón-Zygmund capacities and Wolff potentials on Cantor sets ⋮ Cauchy transforms of self-similar measures: Starlikeness and univalence ⋮ On the \(T(1)\)-theorem for the Cauchy integral ⋮ Estimates for Taylor coefficients of Cauchy transforms of some Hausdorff measures. I ⋮ \(L^2\)-boundedness of the Cauchy integral operator for continuous measures ⋮ The Riesz Transform of Codimension Smaller Than One and the Wolff Energy ⋮ Cartan-type estimates for the Cauchy potential ⋮ Distortion of Hausdorff measures and improved Painlevé removability for quasiregular mappings ⋮ Large sets of zero analytic capacity ⋮ Characterization and semiadditivity of the $\mathcal C^1$-harmonic capacity ⋮ Hausdorff measure and capacity associated with Cauchy potentials ⋮ Two examples related to conical energies

This page was built for publication: On the analytic capacity and curvature of some Cantor sets with non-\(\sigma\)-finite length