Potential Theory on Trees, Graphs and Ahlfors-regular Metric Spaces Academic Article uri icon

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abstract

  • 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.

authors

  • Arcozzi, Nicola
  • Rochberg, Richard
  • Sawyer, Eric
  • Wick, Brett D

publication date

  • August 2014