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Hardy Spaces of Harmonic Functions on Homogeneous Isotropic Trees

✍ Scribed by Mitchell H. Taibleson

Publisher
John Wiley and Sons
Year
1987
Tongue
English
Weight
759 KB
Volume
133
Category
Article
ISSN
0025-584X

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✦ Synopsis

8 1. Introduction. Let T be a homogeneous isotropic tree of order q+ 1, q z 2 .

That is, T is a connected graph, i t has no non-trivial loops, and a t each node (I + I edges project. Thus each node has exactly q + 1 nearest neighbors, between any two nodes there is a unique shortest path (a geodesic), and the number of edges in that path defines a natural metric: S(-, -).

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