ESTIMATES OF THE BERGMAN KERNEL FUNCTION ON PSEUDOCONVEX DOMAINS WITH COMPARABLE LEVI FORM Cho, Sang-Hyun;
Let be a smoothly bounded pseudoconvex domain in and let b a point of finite type. We also assume that the Levi form of b is comparable in a neighborhood of . Then we get precise estimates of the Bergman kernel function, (z, w), and its derivatives in a neighborhood of . .