Abstract
We prove the uniqueness of the Silverstein extension of symmetric Dirichlet forms under some condition on intrinsic metrics. As its application, we present some non-local Dirichlet forms which possess the uniqueness of the Silverstein extension and generate non-conservative Hunt processes.
| Original language | English |
|---|---|
| Pages (from-to) | 389-401 |
| Number of pages | 13 |
| Journal | Mathematische Nachrichten |
| Volume | 288 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Mar 1 2015 |
Keywords
- Dirichlet form
- Intrinsic metric
- Silverstein extension
- Symmetric Markov process
ASJC Scopus subject areas
- Mathematics(all)
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Cite this
Kuwae, K., & Shiozawa, Y. (2015). A remark on the uniqueness of Silverstein extensions of symmetric Dirichlet forms. Mathematische Nachrichten, 288(4), 389-401. https://doi.org/10.1002/mana.201300322