Geodesic
Plurisubharmonic saddles
Annales Polonici Mathematici, Tome 63 (1996) no. 3, pp. 235-245.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

A certain linear growth of the pluricomplex Green function of a bounded convex domain of $ℂ^N$ at a given boundary point is related to the existence of a certain plurisubharmonic function called a "plurisubharmonic saddle". In view of classical results on the existence of angular derivatives of conformal mappings, for the case of a single complex variable, this allows us to deduce a criterion for the existence of subharmonic saddles.
DOI : 10.4064/ap-63-3-235-245
Keywords: extremal plurisubharmonic functions, uniqueness theorem, convex sets

Siegfried Momm 1

1 
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Siegfried Momm. Plurisubharmonic saddles. Annales Polonici Mathematici, Tome 63 (1996) no. 3, pp. 235-245. doi : 10.4064/ap-63-3-235-245. http://geodesic.mathdoc.fr/articles/10.4064/ap-63-3-235-245/

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