TY - JOUR
T1 - The Oscillation Inequality of Harmonic Functions on Post Critically Finite Self-Similar Sets
JO - Analysis in Theory and Applications
VL - 2
SP - 149
EP - 156
PY - 2017
DA - 2017/05
SN - 33
DO - http://doi.org/10.4208/ata.2017.v33.n2.5
UR - https://global-sci.org/intro/article_detail/ata/10042.html
KW - p.c.f. Self-similar sets, oscillation inequality, Hölder estimate, harmonic functions.
AB - <p style="text-align: justify;">In this paper we establish the oscillation inequality of harmonic functions and Hölder estimate of the functions in the domain of the Laplacian on connected post critically finite (p.c.f.) self-similar sets.</p>