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

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

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 discret...

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Main Author: Nicola Arcozzi
Format: Article
Language:English
Published: University of Bologna 2010-12-01
Series:Bruno Pini Mathematical Analysis Seminar
Online Access:http://mathematicalanalysis.unibo.it/article/view/2257
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spelling doaj-a44e92bb05ff4172ac9fe5bd48b054cd2020-11-24T22:16:17ZengUniversity of BolognaBruno Pini Mathematical Analysis Seminar2240-28292010-12-01112130Capacità d'insiemi su alberi, grafi e spazi metrici Ahlfors-regolariNicola Arcozzi0Università di BolognaWork 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.http://mathematicalanalysis.unibo.it/article/view/2257
collection DOAJ
language English
format Article
sources DOAJ
author Nicola Arcozzi
spellingShingle Nicola Arcozzi
Capacità d'insiemi su alberi, grafi e spazi metrici Ahlfors-regolari
Bruno Pini Mathematical Analysis Seminar
author_facet Nicola Arcozzi
author_sort Nicola Arcozzi
title Capacità d'insiemi su alberi, grafi e spazi metrici Ahlfors-regolari
title_short Capacità d'insiemi su alberi, grafi e spazi metrici Ahlfors-regolari
title_full Capacità d'insiemi su alberi, grafi e spazi metrici Ahlfors-regolari
title_fullStr Capacità d'insiemi su alberi, grafi e spazi metrici Ahlfors-regolari
title_full_unstemmed Capacità d'insiemi su alberi, grafi e spazi metrici Ahlfors-regolari
title_sort capacità d'insiemi su alberi, grafi e spazi metrici ahlfors-regolari
publisher University of Bologna
series Bruno Pini Mathematical Analysis Seminar
issn 2240-2829
publishDate 2010-12-01
description 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.
url http://mathematicalanalysis.unibo.it/article/view/2257
work_keys_str_mv AT nicolaarcozzi capacitadinsiemisualberigrafiespazimetriciahlforsregolari
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