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On harmonic functions on trees

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URI: https://hdl.handle.net/10016/6487
ISSN: 0926-2601 (Print)
ISSN: 1572-929X (Online)
DOI: 10.1023/A:1011269502282
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harmonic_pestana_pa_2001_ps.pdf (276.44 KB)
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2001-11
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Springer
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Abstract
We study the asymptotic behaviour of harmonic and p-harmonic functions $(1<p<\infty)$ on trees, obtaining estimates about the Hausdorff dimension of 'radial' limits.
Description
46 pages, no figures.-- MSC2000 codes: 28A80, 31B05, 31B25.
MR#: MR1837265 (2002h:31011)
Zbl#: Zbl 1008.31006
Keywords
Trees, Harmonic function, p-harmonic function, Hausdorff dimension, Radial limit
Bibliographic citation
Potential Analysis, 2001, vol. 15, n. 3, p. 199-244
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