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Kigami, J. (1994) Effective Resistances for Harmonic Structures on p.c.f. Self-Similar Sets. Mathematical Proceedings of the Cambridge Philosophical Society, 115, 291-303.
https://doi.org/10.1017/s0305004100072091

has been cited by the following article:

• TITLE: Hölder Derivative of Harmonic Functions on Sierpinski Gasket

  AUTHORS: Guangjun Yang, Ping Wang

  KEYWORDS: Holder Derivative, Harmonic Function, Sierpinski Gasket

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.2, February 19, 2025

  ABSTRACT: In the past years, we established analytic expressions of various fractals and discussed Hölder derivatives of the expressions. Based on our earlier results, we will study the properties of harmonic functions on a very important fractal, the Sierpinski gasket (SG). Our main result is that the harmonic function on SG satisfies a Hölder inequality of order α=ln 3 5 \ln2 .