The harmonic Bergman kernels for punctured domains |
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| Authors: | Zhen Gang Zhao |
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| Affiliation: | 1. Department of Mathematics, Capital Normal University, Beijing, 100048, P. R. China
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| Abstract: | We obtain the explicit formulae for the harmonic Bergman kernels of B n {0} and (mathbb{R}^n backslash overline {B_n } ) 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 B n {0} with the weight (tfrac{1} {{|x|^4 }} ) . |
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| Keywords: | Harmonic Bergman kernel harmonic Bergman weighted harmonic Bergman kernel |
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