Geodesic
A Decomposition Theorem for Positive Superharmonic Functions
Canadian mathematical bulletin, Tome 33 (1990) no. 3, pp. 286-296

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DOI

Let X be a harmonic space in the sense of C. Constantinescu and A. Cornea. We show that, for any subset E of X, a positive superharmonic function u on X has a representation u = p + h, where p is the greatest specific minorant of u satisfying . This result is a generalization of a theorem of M. Brelot. We also state some characterizations of extremal superharmonic functions.
DOI : 10.4153/CMB-1990-047-7
Mots-clés : 31D05, 06A10 
Eriksson-Bique, Sirkka-Liisa. A Decomposition Theorem for Positive Superharmonic Functions. Canadian mathematical bulletin, Tome 33 (1990) no. 3, pp. 286-296. doi: 10.4153/CMB-1990-047-7
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     title = {A {Decomposition} {Theorem} for {Positive} {Superharmonic} {Functions}},
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     year = {1990},
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     number = {3},
     doi = {10.4153/CMB-1990-047-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-047-7/}
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