Asymptotic behavior of the Bergman kernel and associated invariants in certain inænite type pseudoconvex domains

2002 ◽  
Vol 14 (5) ◽  
Author(s):  
Kang-Tae Kim ◽  
Sunhong Lee
Keyword(s):  
Asymptotic Behavior ◽  
Bergman Kernel ◽  
Pseudoconvex Domains

The Bergman kernel on uniformly extendable pseudoconvex domains

1986 ◽  
Vol 273 (3) ◽  
pp. 471-478 ◽  
Author(s):  
Klas Diederich ◽  
Gregor Herbort ◽  
Takeo Ohsawa
Keyword(s):  
Bergman Kernel ◽  
Pseudoconvex Domains

scholarly journals On some extremal problems in Bergman spaces in weakly pseudoconvex domains

2018 ◽  
Vol 26 (2) ◽  
pp. 83-97
Author(s):  
Romi F. Shamoyan ◽  
Olivera R. Mihić
Keyword(s):  
Distance Function ◽  
Bergman Kernel ◽  
Additional Condition ◽  
Bergman Spaces ◽  
Representation Formula ◽  
Extremal Problems ◽  
Bergman Projection ◽  
Pseudoconvex Domains ◽  
Weakly Pseudoconvex

AbstractWe consider and solve extremal problems in various bounded weakly pseudoconvex domains in ℂn based on recent results on boundedness of Bergman projection with positive Bergman kernel in Bergman spaces $A_\alpha ^p$ in such type domains. We provide some new sharp theorems for distance function in Bergman spaces in bounded weakly pseudoconvex domains with natural additional condition on Bergman representation formula.

Sign in / Sign up

Export Citation Format

Share Document