Potential spaces on fractals
Jiaxin Hu ; Martina Zähle
Studia Mathematica, Tome 166 (2005), p. 259-281 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:285026
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     title = {Potential spaces on fractals},
     journal = {Studia Mathematica},
     volume = {166},
     year = {2005},
     pages = {259-281},
     zbl = {1119.31008},
     language = {en},
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Jiaxin Hu; Martina Zähle. Potential spaces on fractals. Studia Mathematica, Tome 166 (2005) pp. 259-281. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm170-3-4/