The Lusin area function and local admissible convergence of harmonic functions on homogeneous trees

Atanasi, Laura; Picardello, Massimo

doi:10.1090/S0002-9947-07-04433-9

Authors: Laura Atanasi and Massimo A. Picardello
Journal: Trans. Amer. Math. Soc. 360 (2008), 3327-3343
MSC (2000): Primary 05C05; Secondary 31A20
DOI: https://doi.org/10.1090/S0002-9947-07-04433-9
Published electronically: November 28, 2007
MathSciNet review: 2379799
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Abstract: We prove admissible convergence to the boundary of functions that are harmonic on a subset of a homogeneous tree by means of a discrete Green formula and an analogue of the Lusin area function.

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