Boundary Behavior of the Bergman Kernel Function on Some Pseudoconvex Domains in C"

@inproceedings{Cho1994BoundaryBO,
  title={Boundary Behavior of the Bergman Kernel Function on Some Pseudoconvex Domains in C"},
  author={Sanghyun Cho},
  year={1994}
}
Let il be a bounded pseudoconvex domain in C" with smooth denning function r and let zo 6 bCl be a point of finite type. We also assume that the Levi form ddr(z) of bil has (n — 2)-positive eigenvalues at z0 . Then we get a quantity which bounds from above and below the Bergman kernel function in a small constant and large constant sense. 
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