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- Title
On the domains of Dirichlet forms on metric measure spaces.
- Authors
Yang, Meng
- Abstract
We prove that the domain of the local Dirichlet form is strictly contained in the domain of any stable-like non-local Dirichlet form on general metric measure spaces. We construct explicit functions in the difference of the domains of the Dirichlet forms on the Sierpiński gasket and the Sierpiński carpet.
- Subjects
DIRICHLET forms; METRIC spaces; SOBOLEV spaces; GASKETS
- Publication
Mathematische Zeitschrift, 2022, Vol 301, Issue 2, p2129
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s00209-022-02987-9