scholarly journals Boundary behavior of the Bergman kernel function on pseudoconvex domains

1984 ◽  
Vol 20 (5) ◽  
pp. 897-902 ◽  
Author(s):  
Takeo Ohsawa
Keyword(s):  
Kernel Function ◽  
Bergman Kernel ◽  
Boundary Behavior ◽  
Pseudoconvex Domains ◽  
Bergman Kernel Function

scholarly journals Estimates on the Bergman Kernels in a Tangential Direction on Pseudoconvex Domains in C3

2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Sanghyun Cho
Keyword(s):  
Kernel Function ◽  
Bergman Kernel ◽  
Pseudoconvex Domain ◽  
Tangential Direction ◽  
Pseudoconvex Domains ◽  
Bergman Kernel Function ◽  
Bergman Kernels ◽  
Optimal Estimates

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.

scholarly journals On the bergman kernel of hyperconvex domains

1993 ◽  
Vol 129 ◽  
pp. 43-52 ◽  
Author(s):  
Takeo Ohsawa
Keyword(s):  
Kernel Function ◽  
Bergman Kernel ◽  
Pseudoconvex Domain ◽  
Boundary Behavior ◽  
Bergman Kernel Function

Let D be a bounded pseudoconvex domain in Cn, and let KD (z, w) be the Bergman kernel function of D. The boundary behavior of KD (z, w), or that of KD (z, z), has attracted a lot of attention because it is closely related to the pseudoconformal geometry of D and ∂D.

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