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Seminario di Analisi Matematica Dipartimento di Matematica
 

Summary: Seminario di Analisi Matematica
Dipartimento di Matematica
dell'Universit`a di Bologna
Anno Accademico 2009-10
Nicola Arcozzi
Capacit`a d'insiemi su alberi, grafi e spazi metrici
Ahlfors-regolari
3 giugno 2010
1
2 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.
Indice
Abstract 2
1. Gli spazi metrici Ahlfors-regolari; grafi ed alberi ad essi associati 6

  

Source: Arcozzi, Nicola - Dipartimento di Matematica, UniversitÓ di Bologna

 

Collections: Mathematics