Potential Spaces on Fractals

نویسندگان

  • JIAXIN HU
  • MARTINA ZÄHLE
چکیده

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. The results of this paper are among the marvelous consequences of the heat kernel on the fractal.

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تاریخ انتشار 2004