Abstract
We construct the Martin compactification U ¯ ¯ ¯ ¯
of a fine domain U in R n (n = 2) and the Riesz-Martin kernel K on U×U ¯ ¯ ¯ ¯
. We obtain the integral representation of finely superharmonic fonctions ≥ 0 on U in terms of K and establish the Fatou-Naim-Doob theorem in this setting.
Originalsprog | Engelsk |
---|---|
Tidsskrift | Potential Analysis |
Vol/bind | 44 |
Udgave nummer | 1 |
Sider (fra-til) | 1-25 |
ISSN | 0926-2601 |
DOI | |
Status | Udgivet - 2016 |