Geodesic
Potential spaces on fractals
Jiaxin Hu1 ; Martina Zähle2
1 Department of Mathematical Sciences Tsinghua University Beijing 100084, China
2 Mathematical Institute University of Jena 07743 Jena, Germany
Studia Mathematica, Tome 170 (2005) no. 3, pp. 259-281 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm170-3-4
Keywords: introduce potential spaces fractal metric spaces investigate their embedding theorems derive various besov spaces starting point there exists local stochastically complete heat kernel satisfying two sided estimate fractal considered

Jiaxin Hu 1 ; Martina Zähle 2

1 Department of Mathematical Sciences Tsinghua University Beijing 100084, China
2 Mathematical Institute University of Jena 07743 Jena, Germany 
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Jiaxin Hu; Martina Zähle. Potential spaces on fractals. Studia Mathematica, Tome 170 (2005) no. 3, pp. 259-281. doi: 10.4064/sm170-3-4

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