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Boundary behavior of the Bergman kernel function on pseudoconvex domains with comparable Levi form
Authors:Sanghyun Cho
Institution:Department of Mathematics, Sogang University, Seoul 121-742, South Korea
Abstract:Let Ω be a smoothly bounded pseudoconvex domain in View the MathML source and let View the MathML source be a point of finite type. We also assume that the Levi form of bΩ is comparable in a neighborhood of z0. Then we get a quantity which bounds from above and below the Bergman kernel function in a small constant and large constant sense.
Keywords:Bergman kernel function  Finite type
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