Martin Boundary of a Fine Domain and a Fatou-Naïm-Doob Theorem for Finely Superharmonic Functions
Research output: Contribution to journal › Journal article › Research › peer-review
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.
| Original language | English |
|---|---|
| Journal | Potential Analysis |
| Volume | 44 |
| Issue number | 1 |
| Pages (from-to) | 1-25 |
| ISSN | 0926-2601 |
| DOIs | |
| Publication status | Published - 2016 |
ID: 142181860