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Energy finite p-harmonic functions on graphs and rough isometries

Title
Energy finite p-harmonic functions on graphs and rough isometries
Authors
Kim S.W.Lee Y.H.
Ewha Authors
이용하
SCOPUS Author ID
이용하scopus
Issue Date
2007
Journal Title
Communications of the Korean Mathematical Society
ISSN
1225-1763JCR Link
Citation
Communications of the Korean Mathematical Society vol. 22, no. 2, pp. 277 - 287
Indexed
SCOPUS; KCI scopus
Document Type
Article
Abstract
We prove that if a graph G of bounded degree has finitely many p-hyperbolic ends (1 < p < ∞) in which every bounded energy finite p-harmonic function is asymptotically constant for almost every path, then the set HBDp(G) of all bounded energy finite p-harmonic functions on G is in one to one corresponding to Rl, where l is the number of p-hyperbolic ends of G. Furthermore, we prove that if a graph G′ is roughly isometric to G, then HBDp(G′) is also in an one to one correspondence with Rl. © 2007 The Korean Mathematical Society.
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사범대학 > 수학교육과 > Journal papers
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