Estimates of the Bergman kernel for some pseudoconvex domains

Denote by K_ω(z, ζ) the Bergman kernel of a pseudoconvex domain Ω. For some classes of domains Ω, a relationship is found between the rate of increase of K_ω(z, z) as z tends to ∂Ω, and a purely geometric property of Ω. Bibliography: 5 titles. Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 222, 1995, pp. 222–245.