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J. Korean Math. Soc. 2012; 49(1): 69-83
Printed January 1, 2012
https://doi.org/10.4134/JKMS.2012.49.1.69
Copyright © The Korean Mathematical Society.
Explicit formulas for the Bergman kernel on certain Forelli-Rudin construction
Liyou Zhang, An Wang, and Qingbin Li
Capital Normal University, Capital Normal University, Zhengzhou Institute of Aeronautical Industry Management
In this note, we present certain circular domain, named Forelli-Rudin construction or Hua construction, which is built on Cartan domains. We compute the explicit Bergman kernel for it and get the corresponding weighted Bergman kernel on its base.
Keywords: Bergman kernel, weighted Bergman kernel, Forelli-Rudin construction, Hua construction
MSC numbers: 32M15, 32H02
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