Estimates of the Bergman kernel for some pseudoconvex domains

Denote by $K_\Omega(z,\zeta)$ the Bergman kernel of a pseudoconvex domain $\Omega$. For some classes of domains $\Omega$, a relationship is found between the rate of increase of $K_\Omega(z,z)$ as $z$ tends to $\partial\Omega$, and a purely geometric property of $\Omega$. Bibliography: 5 titles.