We obtain the explicit formulae for the harmonic Bergman kernels of Bn/{0} and Rn/Bn and study the connection between harmonic Bergman kernel and weighted harmonic Bergman kernel.We also get the explicit formula for...We obtain the explicit formulae for the harmonic Bergman kernels of Bn/{0} and Rn/Bn and study the connection between harmonic Bergman kernel and weighted harmonic Bergman kernel.We also get the explicit formula for the weighted harmonic Bergman kernel of Bn/{0} with the weight 1/|x|4.展开更多
基金Supported by National Natural Science Foundation of China(Grant No.10401024)
文摘We obtain the explicit formulae for the harmonic Bergman kernels of Bn/{0} and Rn/Bn and study the connection between harmonic Bergman kernel and weighted harmonic Bergman kernel.We also get the explicit formula for the weighted harmonic Bergman kernel of Bn/{0} with the weight 1/|x|4.