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

Research output: Contribution to journalArticleResearchpeer-review

23 Citations (Scopus)

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 Sept 2002

Keywords

  • Analytic capacity
  • Capacity γ +
  • Cauchy integral

Fingerprint

Dive into the research topics of 'On the analytic capacity γ<inf>+</inf>'. Together they form a unique fingerprint.

Cite this