Domains of Dirichlet forms and effective resistance estimates on p.c.f. fractals
Tom 177 / 2006
Studia Mathematica 177 (2006), 153-172
MSC: Primary 28A80; Secondary 46E30.
DOI: 10.4064/sm177-2-5
Streszczenie
We consider post-critically finite self-similar fractals with regular harmonic structures. We first obtain effective resistance estimates in terms of the Euclidean metric, which in particular imply the embedding theorem for the domains of the Dirichlet forms associated with the harmonic structures. We then characterize the domains of the Dirichlet forms.
