On the semiadditivity of analytic capacity and planar Cantor sets

نویسندگان

  • Joan Mateu
  • Xavier Tolsa
  • Joan Verdera
  • JOAN VERDERA
چکیده

It has been recently proved that analytic capacity, γ, is semiadditive. This result is a consequence of the comparability between γ and γ+, a version of γ originated by bounded Cauchy potentials of positive measures. In this paper we describe the main ideas involved in the proof of this result and we give a complete proof of it in the particular case of the N -th approximation of the corner quarters Cantor set.

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تاریخ انتشار 2003