scholarly journals Estimates for the Bergman kernel and metric of convex domains in Cn

2003 ◽  
Vol 81 (1) ◽  
pp. 73-78 ◽  
Author(s):  
Nikolai Nikolov ◽  
Peter Pflug
Keyword(s):  
Bergman Kernel ◽  
Convex Domains

scholarly journals Uniform Extendibility of the Bergman Kernel for Generalized Minimal Balls

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Jong-Do Park
Keyword(s):  
Bergman Kernel ◽  
Convex Domains ◽  
Reinhardt Domains ◽  
Nonsmooth Boundary

We consider a class of convex domains which contains non-Reinhardt domains with nonsmooth boundary. We show that the domains of this class satisfy the conditionQ.

ON DISCONTINUITY OF THE BERGMAN KERNEL FUNCTION

1999 ◽  
Vol 10 (07) ◽  
pp. 825-832
Author(s):  
KLAS DIEDERICH ◽  
GREGOR HERBORT
Keyword(s):  
Finite Type ◽  
Kernel Function ◽  
Real Line ◽  
Bergman Kernel ◽  
Pseudoconvex Domain ◽  
Convex Domains ◽  
Bergman Kernel Function ◽  
Finite Type Domains

Let [Formula: see text] be a Ck-smoothly (with k≥1) bounded pseudoconvex domain and [Formula: see text] denote its Bergman kernel function. In this article the question is investigated, whether the function [Formula: see text] is continuous up to the boundary in the topology of the extended real line [Formula: see text]. We give two counterexamples: one in the class of finite type domains with k = ∞ and one in the class of convex domains with k = 1.

scholarly journals q ‐pseudoconvex and q ‐holomorphically convex domains

2019 ◽  
Vol 292 (12) ◽  
pp. 2619-2623
Author(s):  
George‐Ionuţ Ioniţă ◽  
Ovidiu Preda
Keyword(s):  
Convex Domains

Biholomorphic mappings and the Bergman kernel off the diagonal

1979 ◽  
Vol 51 (2) ◽  
pp. 155-169 ◽  
Author(s):  
S. M. Webster
Keyword(s):  
Bergman Kernel
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