Abstract
We investigate Dirichlet forms in the case that an infinite extension of a local field is given as a state space. Actually, we see the theory of Dirichlet space is applicable to construct Markov processes on the infinite extension. We study non-linear capacities arising from an extensive research into potential theory based on the associated Markov process.
| Original language | English |
|---|---|
| Pages (from-to) | 1011-1032 |
| Number of pages | 22 |
| Journal | Forum Mathematicum |
| Volume | 17 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2005 Nov 18 |
| Externally published | Yes |
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
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Cite this
Kaneko, H., & Yasuda, K. (2005). Capacities associated with Dirichlet space on an infinite extension of a local field. Forum Mathematicum, 17(6), 1011-1032. https://doi.org/10.1515/form.2005.17.6.1011