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Energy measures on p.c.f. self-similar sets
Authors:Donglei Tang
Institution:School of Mathematics and Statistics, Nanjing Audit University, Nanjing, 210029, China
Abstract:On connected post critically finite (p.c.f.) self-similar sets we give a linear extension method to compute the energy measures of harmonic functions with respect to the standard energy, and as an application we also compute the L2L2 dimensions of these measures on some p.c.f. self-similar sets.
Keywords:P  c  f self-similar sets  Harmonic function  Energy measures  L2L2 dimension" target="_blank">gif" overflow="scroll">L2 dimension
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