Estimates for the Bergman kernel and metric of convex domains in ℂⁿ
Nikolai Nikolov ; Peter Pflug
Annales Polonici Mathematici, Tome 81 (2003), p. 73-78 / Harvested from The Polish Digital Mathematics Library
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Sharp geometrical lower and upper estimates are obtained for the Bergman kernel on the diagonal of a convex domain D ⊂ ℂⁿ which does not contain complex lines. It is also proved that the ratio of the Bergman and Carathéodory metrics of D does not exceed a constant depending only on n.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:281009 
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     year = {2003},
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Nikolai Nikolov; Peter Pflug. Estimates for the Bergman kernel and metric of convex domains in ℂⁿ. Annales Polonici Mathematici, Tome 81 (2003) pp. 73-78. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap81-1-6/