Chinese Quarterly Journal of Mathematics ›› 2005, Vol. 20 ›› Issue (2): 151-157.

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Harmonic Bergman Metric

  

  1. Department of Mathematics, Capital Normal University, Beijing 100037, China
  • Received:2004-09-01 Online:2005-06-30 Published:2024-01-19
  • About author:ZHAO Zhen-gang(1972-),male,native of Linxi,Hebei,a lecturer of Capital Normal University, Ph.D.,engages in several complex variables and harmonic function theory.
  • Supported by:
     Supported by the Tianyuan Foundation(A0324609) Supported by the research grant, of Beijing Municipal Government;

Abstract: We have constructed the positive definite metric matrixes for the bounded domains of Rn and proved an inequality which is about the Jacobi matrix of a harmonic mapping on a bounded domain of Rn and the metric matrix of the same bounded domain.

Key words: harmonic , Bergman , spaces;harmonic , Bergman , kernels

CLC Number: