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ENERGY FINITE p-HARMONIC FUNCTIONS ON GRAPHS AND ROUGH ISOMETRIES
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 Title & Authors
ENERGY FINITE p-HARMONIC FUNCTIONS ON GRAPHS AND ROUGH ISOMETRIES
Kim, Seok-Woo; Lee, Yong-Hah;
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 Abstract
We prove that if a graph G of bounded degree has finitely many p-hyperbolic ends($1 of all bounded energy finite p-harmonic functions on G is in one to one corresponding to , where is the number of p-hyperbolic ends of G. Furthermore, we prove that if a graph G` is roughly isometric to G, then is also in an one to one correspondence with .
 Keywords
p-harmonic function;almost every path;rough isometry;
 Language
English
 Cited by
1.
Graphs of bounded degree and thep-harmonic boundary, Pacific Journal of Mathematics, 2010, 248, 2, 429  crossref(new windwow)
2.
THE -HARMONIC BOUNDARY AND -MASSIVE SUBSETS OF A GRAPH OF BOUNDED DEGREE, Bulletin of the Australian Mathematical Society, 2014, 89, 01, 149  crossref(new windwow)
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