Positive harmonic functions on biregular trees
DOI:
https://doi.org/10.13069/jacodesmath.v11i1.290Keywords:
Biregular tree, Maximal growth, Positive harmonic functionAbstract
We show that if $f$ is a positive harmonic function on a biregular tree which has maximal growth along an infinite path in the tree, then every harmonic function $g$ on the tree with $0\leq g\leq f$ is a multiple of $f,$ thus generalizing a result of Cartier about regular trees.
Received: 28 April 2023 | Accepted: 9 August 2023Downloads
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