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On extending $L^{2}$ holomorphic functions from complex hyperplanes by Straube, Emil J.; Zampieri, Giuseppe is a scholarly article available to read on EtoBox.

What is On extending $L^{2}$ holomorphic functions from complex hyperplanes about?

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.

Author

Straube, Emil J.; Zampieri, Giuseppe

Published

2011

Language

EN