Mathematics – Complex Variables
Scientific paper
2011-04-21
Mathematics
Complex Variables
This paper has been withdrawn by the authors due to an error in estimate (5). Correcting the estimate leads to a fractional ex
Scientific paper
The key to the proof of the Ohsawa-Takegoshi Extension Theorem is a certain $\bar{\partial}$-estimate. The purpose of this note is to show that the 'curvature term' that arises in the Kohn-Morrey-H\"{o}rmander inequality (or the Bochner-Kodaira technique) is sufficient to produce such an estimate. We exploit self boundedness of the gradients of the weight functions to change the weight with respect to which the adjoint is taken. The weights, on the other hand, are the usual ones used in this context.
Straube Emil J.
Zampieri Giuseppe
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