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 language | English |
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Pages (from-to) | 317-343 |
Journal | Indiana University Mathematics Journal |
Volume | 51 |
Issue number | 2 |
Publication status | Published - 2 Sept 2002 |
Keywords
- Analytic capacity
- Capacity γ +
- Cauchy integral