Domains of Dirichlet forms and effective resistance estimates on p.c.f. fractals

Jiaxin Hu, and Xingsheng Wang. "Domains of Dirichlet forms and effective resistance estimates on p.c.f. fractals." Studia Mathematica 177.2 (2006): 153-172. <http://eudml.org/doc/285122>.

@article{JiaxinHu2006,
abstract = {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.},
author = {Jiaxin Hu, Xingsheng Wang},
journal = {Studia Mathematica},
language = {eng},
number = {2},
pages = {153-172},
title = {Domains of Dirichlet forms and effective resistance estimates on p.c.f. fractals},
url = {http://eudml.org/doc/285122},
volume = {177},
year = {2006},
}

TY - JOUR
AU - Jiaxin Hu
AU - Xingsheng Wang
TI - Domains of Dirichlet forms and effective resistance estimates on p.c.f. fractals
JO - Studia Mathematica
PY - 2006
VL - 177
IS - 2
SP - 153
EP - 172
AB - 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.
LA - eng
UR - http://eudml.org/doc/285122
ER -