On the analytic capacity γ<inf>+</inf>

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Abstract

The analytic capacity γ+ is a version of the usual analytic capacity γ which is generated by Cauchy potentials of positive measures. Some recent results have shown the importance of γ+ for the understanding of the metric-geometric properties of γ. This paper is devoted to the study of γ+. Among other things, it is shown that although this capacity is not originated by a positive symmetric kernel, it satisfies some properties usually fulfilled this other type of capacities (such as Riesz capacities).
Original languageEnglish
Pages (from-to)317-343
JournalIndiana University Mathematics Journal
Volume51
Issue number2
Publication statusPublished - 2 Sep 2002

Keywords

  • Analytic capacity
  • Capacity γ +
  • Cauchy integral

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