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).
|Indiana University Mathematics Journal
|Published - 2 Sept 2002
- Analytic capacity
- Capacity γ +
- Cauchy integral