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

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Martin Boundary of a Fine Domain and a Fatou-Naïm-Doob Theorem for Finely Superharmonic Functions. / El Kadiri, Mohamed ; Fuglede, Bent.

In: Potential Analysis, Vol. 44, No. 1, 2016, p. 1-25.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

El Kadiri, M & Fuglede, B 2016, 'Martin Boundary of a Fine Domain and a Fatou-Naïm-Doob Theorem for Finely Superharmonic Functions', Potential Analysis, vol. 44, no. 1, pp. 1-25. https://doi.org/10.1007/s11118-015-9495-0

APA

El Kadiri, M., & Fuglede, B. (2016). Martin Boundary of a Fine Domain and a Fatou-Naïm-Doob Theorem for Finely Superharmonic Functions. Potential Analysis, 44(1), 1-25. https://doi.org/10.1007/s11118-015-9495-0

Vancouver

El Kadiri M, Fuglede B. Martin Boundary of a Fine Domain and a Fatou-Naïm-Doob Theorem for Finely Superharmonic Functions. Potential Analysis. 2016;44(1):1-25. https://doi.org/10.1007/s11118-015-9495-0

Author

El Kadiri, Mohamed ; Fuglede, Bent. / Martin Boundary of a Fine Domain and a Fatou-Naïm-Doob Theorem for Finely Superharmonic Functions. In: Potential Analysis. 2016 ; Vol. 44, No. 1. pp. 1-25.

Bibtex

@article{9e63e811adda4d5d88979874d55884ea,
title = "Martin Boundary of a Fine Domain and a Fatou-Na{\"i}m-Doob Theorem for Finely Superharmonic Functions",
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.",
author = "{El Kadiri}, Mohamed and Bent Fuglede",
year = "2016",
doi = "10.1007/s11118-015-9495-0",
language = "English",
volume = "44",
pages = "1--25",
journal = "Potential Analysis",
issn = "0926-2601",
publisher = "Springer",
number = "1",

}

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