In this paper we establish the oscillation inequality of harmonic functions and Hlder estimate of the functions in the domain of the Laplacian on connected post critically finite(p.c.f.) self-similar sets.
机构:
Osaka Univ, Grad Sch Engn Sci, Dept Informat & Math Sci, Div Mat Sci, Suita, Osaka 565, JapanOsaka Univ, Grad Sch Engn Sci, Dept Informat & Math Sci, Div Mat Sci, Suita, Osaka 565, Japan