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On the analytic capacity gamma ɣ+
Tolsa Domènech, Xavier (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Data: 2002
Resum: The analytic capacity ‚ɣ+ is a version of the usual analytic capacity ‚ɣ which is generated by Cauchy potentials of positive measures. Some recent results have shown the importance ‚ɣ+ of for the understanding of the metric-geometric properties of ‚ɣ. This paper is devoted to the study of ‚ɣ+‚. 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).
Drets: Tots els drets reservats.
Llengua: Anglès
Document: article ; publishedVersion
Matèria: Analytic capacity ; Capacity ɣ+ ; Cauchy integral
Publicat a: Indiana University mathematics journal, Vol. 51, No. 2 (2002) , p. 317-343, ISSN 0022-2518

DOI: 10.1512/iumj.2002.51.2202

27 p, 259.5 KB

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