Estimates on the Bergman Kernels in a Tangential Direction on Pseudoconvex Domains in C 3
Abstract and Applied Analysis(2018)
Abstract
Let Ω be a smoothly bounded pseudoconvex domain in C3 and assume that TΩreg(z0)<∞ where z0∈bΩ, the boundary of Ω. Then we get optimal estimates of the Bergman kernel function along some “almost tangential curve” Cb(z0,δ0)⊂Ω∪z0.
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