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 |
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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)