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.
Atanasi, L., Picardello, A.m. (2008). The Lusin area function and local admissible convergence of harmonic functions on homogeneous trees. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 360(6), 3327-3343 [10.1090/S0002-9947-07-04433-9].
The Lusin area function and local admissible convergence of harmonic functions on homogeneous trees
PICARDELLO, ANGELO MASSIMO
2008-01-01
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.File in questo prodotto:
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