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

Laura Atanasi, Massimo Picardello

Source record

Source: Crossref

Published: Nov 28, 2007

DOI: 10.1090/s0002-9947-07-04433-9

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Source 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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