The extension theorem of Ohsawa-Takegoshi and the theorem of Donnelly-Fefferman

• DOI: 10.5802/aif.1541
• Publication Date: 2011-09-05T13:44:29Z
• Authors: Bo Berndtsson
• Keywords: 0101 mathematics; 01 natural sciences

We give a short proof of the extension theorem Ohsawa-Takegoshi. The same method also gives generalization ∂ ¯-theorem Donnelly and Fefferman for case (n,1)-forms.