Capacità d'insiemi su alberi, grafi e spazi metrici Ahlfors-regolari

Nicola Arcozzi

Abstract


Work in collaboration with R. Rochberg E. Sawyer and B. Wick [ARSW]. We show that the potential theory of Bessel-type kernels on Ahlfors-regular metric spaces is equivalent, in a precise sense, to potential theory on trees. The basis of this work was in [ARS2], where the relationship between discrete potential theory and some classical function theory was considered. Some applications [Ar] to estimation of sets' and condenser's capacity are discussed.

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DOI: 10.6092/issn.2240-2829/2257

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Copyright (c) 2010 Nicola Arcozzi

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ISSN 2240-2829
Registration at Bologna Law Court no. 8138 on 24th November, 2010

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