Boundary behavior of the Bergman kernel function in $\mathbb{C}^2$

1989 ◽  
Vol 58 (2) ◽  
pp. 499-512 ◽  
Author(s):  
Jeffery D. McNeal
Keyword(s):  
Kernel Function ◽  
Bergman Kernel ◽  
Boundary Behavior ◽  
Bergman Kernel Function

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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