Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (3): 325-334.

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Zeroes of the Bergman Kernels on Some New Hartogs Domains

  

  1. School of Mathematical Sciences,Capital Normal University

  • Received:2009-04-30 Online:2011-09-30 Published:2023-04-18
  • About author:WANG An(1959-), male, native of Beijing, a professor of Capital Normal University, engages in several complex variables; LIU Yu-lan(1982-), female, native of Binzhou, Shandong, a graduated student of Capital Normal University, engages in several complex variables.
  • Supported by:
    Supported by the NSFC(10771144,11071171); Supported by the Beijing Natural Science Foundation(1082005); Supported by the Excellent Doctoral Thesis Prize of Beijing(2008);

Abstract: We obtain the Bergman kernel for a new type of Hartogs domain. The corresponding LU Qi-Keng’s problem is considered.

Key words: grouping circular domain, Bergman kernel function, LU Qi-Keng domain

CLC Number: