Estimates for the Bergman kernel and metric of convex domains in ${\Bbb C}^n$
Volume 81 / 2003
Annales Polonici Mathematici 81 (2003), 73-78
MSC: Primary 32A25.
DOI: 10.4064/ap81-1-6
Abstract
Sharp geometrical lower and upper estimates are obtained for the Bergman kernel on the diagonal of a convex domain $D\subset {{\mathbb C}}^n$ 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 $n$.
