Sur la valeur au bord du noyau de Poisson d'un domaine borné symétrique (Q1067055)

The author gives a very elegant proof of an older result of M. Stoll on the asymptotic behaviour of the Poisson kernel of a bounded symmetric domain D. Assume D is star shaped with respect to the origin, u, v two distinct points in the Shilov boundary of D, then \(P(rv,u)\approx (1- r)^{-p}\) as \(r\uparrow 1.\) Here \(p=n-2n/\ell,\) where \(n=\dim_{{\mathbb{C}}} D,\) \(\ell =\) rank D.