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.
@article{2257, title = {Capacit\`a d'insiemi su alberi, grafi e spazi metrici Ahlfors-regolari}, journal = {Bruno Pini Mathematical Analysis Seminar}, year = {2010}, doi = {10.6092/issn.2240-2829/2257}, language = {IT}, url = {http://dml.mathdoc.fr/item/2257} }
Arcozzi, Nicola. Capacità d'insiemi su alberi, grafi e spazi metrici Ahlfors-regolari. Bruno Pini Mathematical Analysis Seminar, (2010), . doi : 10.6092/issn.2240-2829/2257. http://gdmltest.u-ga.fr/item/2257/