The Lusin area function and local admissible convergence of harmonic functions on homogeneous trees
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- by Laura Atanasi and Massimo A. Picardello PDF
- Trans. Amer. Math. Soc. 360 (2008), 3327-3343
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.References
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Additional Information
- Laura Atanasi
- Affiliation: Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, 00133 Roma, Italy
- Email: atanasi@mat.uniroma2.it
- Massimo A. Picardello
- Affiliation: Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, 00133 Roma, Italy
- MR Author ID: 139285
- ORCID: 0000-0002-4281-0429
- Email: picard@mat.uniroma2.it
- Received by editor(s): October 3, 2005
- Received by editor(s) in revised form: October 7, 2006
- Published electronically: November 28, 2007
- © Copyright 2007 Department of Mathematics, University of Rome “Tor Vergata”
- 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
- MathSciNet review: 2379799