Sur la valeur au bord du noyau de Poisson d'un domaine borné symétrique (Q1067055)
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scientific article; zbMATH DE number 3927381
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sur la valeur au bord du noyau de Poisson d'un domaine borné symétrique |
scientific article; zbMATH DE number 3927381 |
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Sur la valeur au bord du noyau de Poisson d'un domaine borné symétrique (English)
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1984
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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.
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star shaped domain
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asymptotic behaviour of the Poisson kernel of a bounded symmetric
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domain
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Shilov boundary
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asymptotic behaviour of the Poisson kernel of a bounded symmetric domain
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