Potential Theory on Trees, Graphs and Ahlfors Regular Metric Spaces

Details Potential Theory on Trees, Graphs and Ahlfors Regular Metric Spaces Potential Theory on Trees, Graphs and Ahlfors Regular Metric Spaces

2010-10-22

arxiv.org/abs/1010.4788v2

Mathematics

Analysis of PDEs

44 pages

Scientific paper

We investigate connections between potential theories on a Ahlfors-regular
metric space X, on a graph G associated with X, and on the tree T obtained by
removing the "horizontal edges" in G. Applications to the calculation of set
capacity are given.

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