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

• Autorzy: Jiaxin Hu , Xingsheng Wang
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 28A80: Fractals

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 177
• Numer: 2
• Strony: 153-172

Daty

wydano

2006

Twórcy

autor

Jiaxin Hu

• Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China

autor

Xingsheng Wang

• Department of Electronics and Electrical Engineering, The University of Glasgow, Glasgow, Scotland, UK

Identyfikatory

DOI

10.4064/sm177-2-5