| Integral formulas and the Ohsawa-Takegoshi extension theorem |
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| 作者姓名： | Bo Berndtsson |
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| 作者单位： | Department of |
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| 摘 要： | We construct a semiexplicit integral representation of the canonical solution to the (?)-equation with respect to a plurisubharmonic weight function in a pseudoconvex domain. The construction is based on a construction related to the Ohsawa-Takegoshi extension theorem combined with a method to construct weighted integral representations due to M. Andersson.
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Integral formulas and the Ohsawa-Takegoshi extension theorem |
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| Bo Berndtsson.Integral formulas and the Ohsawa-Takegoshi extension theorem[J].Science in China(Mathematics),2005,48(Z1). |
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| Authors: | Bo Berndtsson |
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| Institution: | Department of Mathematics,Chalmers University of Technology and the University of G(o)teborg,S-412 96 G(o)teborg,Sweden |
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| Abstract: | We construct a semiexplicit integral representation of the canonical solution to the (?)-equation with respect to a plurisubharmonic weight function in a pseudoconvex domain. The construction is based on a construction related to the Ohsawa-Takegoshi extension theorem combined with a method to construct weighted integral representations due to M. Andersson. |
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| Keywords: | (?)-equation integral representation |
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