The Oscillation Inequality of Harmonic Functions on Post Critically Finite Self-Similar Sets |
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| Authors: | Donglei Tang Rui Hu |
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| Institution: | Department of Applied Mathematics, Nanjing Audit University, Nanjing 211815,Jiangsu, China |
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| Abstract: | In this paper we establish the oscillation inequalityof harmonic functions and H(o)lder estimate of the functions in the domain of the Laplacian on connected post critically finite (p.c.f.) self-similar sets. |
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| Keywords: | p c f Self-similar sets oscillation inequality H(o)lder estimate harmonic functions |
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