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 |
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Journal | Potential Analysis |
Volume | 44 |
Issue number | 1 |
Pages (from-to) | 1-25 |
ISSN | 0926-2601 |
DOIs | |
Publication status | Published - 2016 |
ID: 142181860