Potential spaces on fractals

Tom 170 / 2005

Jiaxin Hu, Martina Zähle Studia Mathematica 170 (2005), 259-281 MSC: Primary 31C28; Secondary 46E58. DOI: 10.4064/sm170-3-4

Streszczenie

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.

Autorzy

  • Jiaxin HuDepartment of Mathematical Sciences
    Tsinghua University
    Beijing 100084, China
    e-mail
  • Martina ZähleMathematical Institute
    University of Jena
    07743 Jena, Germany
    e-mail

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