Hu, J. and Wang, X. (2006) Domains of Dirichlet forms and effective resistance estimates on p.c.f. fractals. Studia Mathematica, 177(2), pp. 153-172.
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Publisher's URL: http://journals.impan.gov.pl/sm/Inf/177-2-5.html
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.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Wang, Dr Xingsheng |
| Authors: | Hu, J., and Wang, X. |
| College/School: | College of Science and Engineering > School of Engineering > Electronics and Nanoscale Engineering |
| Journal Name: | Studia Mathematica |
| Publisher: | Polska Akademia Nauk |
| ISSN: | 0039-3223 |
| ISSN (Online): | 1730-6337 |
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