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Potential spaces on fractals

100%

Hu J., Zähle M.

Studia Mathematica

2005

tom 170

nr 3

259-281

We introduce potential spaces on fractal metric spaces, investigate their embedding theorems, and derive various Besov spaces. Our starting point is that there exists a local, stochastically complete heat kernel satisfying a two-sided estimate on the fractal considered.

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

100%

Hu J., Wang X.

Studia Mathematica

2006

tom 177

nr 2

153-172

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.

Ograniczanie wyników

2 Studia Mathematica

2 Hu J.

1 Wang X.

1 Zähle M.

1 2006

1 2005

Wyniki wyszukiwania

Potential spaces on fractals

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