Distributions and measures on the boundary of a tree

@inproceedings{Cohen2004DistributionsAM,
  title={Distributions and measures on the boundary of a tree},
  author={Joel M. Cohen and Flavia Colonna and David Singman},
  year={2004}
}
In this paper, we analyze the space D of distributions on the boundary Ω of a tree and its sub spaceB0, which was introduced in [Amer. J. Math. 124 (2002) 999–1043] in the homogen case for the purpose of studying the boundary behavior of polyharmonic functions. We show μ ∈ B0, thenμ is a measure which is absolu tely continuous with respect to the natural probability measureλ on Ω, but on the other hand there are measures absolutely continuous with respe λ which are not inB0. We then give the… CONTINUE READING
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