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 ; Versió publicada |
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
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