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The extension theorem of Ohsawa-Takegoshi and the theorem of Donnelly-Fefferman. (English) Zbl 0853.32024
Summary: We give a short proof of the extension theorem of T. Ohsawa and K. Takegoshi [Math. Z. 195, No. 2, 197–204 (1987; Zbl 0625.32011)]. The same method also gives a generalization of the $$\bar\partial$$-theorem of H. Donnelly and C. L. Fefferman [Ann. Math. (2) 118, 593–618 (1983; Zbl 0532.58027)] for the case of $$(n,1)$$-forms.

##### MSC:
 32W05 $$\overline\partial$$ and $$\overline\partial$$-Neumann operators
##### Keywords:
plurisubharmonic; pseudoconvex; $$\bar\partial$$
Full Text:
##### References:
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