Reinhardt domains (II)

摘要

The study of the boundary behavior of ...... for a domain OMEGA is contained in C~n is quite old, going back to the original inquiries of Bergman. Both Fefferman and later, Boutet de Monvel and Sjostrand obtained the asymptotic expansion of K_(OMEGA)(z, w), when ...... is strongly pseudo-convex. For domain in C~2, Catlin gave a precise description of the behavior of Ka(z, z) near finite-type points in do. Sharp estimates for K_(OMEGA(z, w) for this class of domains were obtained by McNeaF and Negal et al. For a "decoupled" class of ......, McNeaP described the exact estimates on K_(OMEGA (z, w) for z near a point of finite type in ....... For the Reinhardt domain (1), D'Angelo gave the'series form of the Bergman kernel function ...... as.