Plurisubharmonic saddles
Tom 63 / 1996
Annales Polonici Mathematici 63 (1996), 235-245
DOI: 10.4064/ap-63-3-235-245
Streszczenie
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.
