Martin Boundary of a Fine Domain and a Fatou-Naïm-Doob Theorem for Finely Superharmonic Functions
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Standard
Martin Boundary of a Fine Domain and a Fatou-Naïm-Doob Theorem for Finely Superharmonic Functions. / El Kadiri, Mohamed ; Fuglede, Bent.
I: Potential Analysis, Bind 44, Nr. 1, 2016, s. 1-25.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Harvard
APA
Vancouver
Author
Bibtex
}
RIS
TY - JOUR
T1 - Martin Boundary of a Fine Domain and a Fatou-Naïm-Doob Theorem for Finely Superharmonic Functions
AU - El Kadiri, Mohamed
AU - Fuglede, Bent
PY - 2016
Y1 - 2016
N2 - 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.
AB - 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.
U2 - 10.1007/s11118-015-9495-0
DO - 10.1007/s11118-015-9495-0
M3 - Journal article
VL - 44
SP - 1
EP - 25
JO - Potential Analysis
JF - Potential Analysis
SN - 0926-2601
IS - 1
ER -
ID: 142181860