2011/04/21 by Emil J. Sträube, Straube, Emil J., Giuseppe Zampieri +1
Mathematics · #Advanced Harmonic Analysis Research #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.1104.4305
openalex publication_date 2011/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The key to the proof of the Ohsawa-Takegoshi Extension Theorem is a certain ∂-estimate. The purpose of this note is to show that the 'curvature term' that arises in the Kohn-Morrey-Hörmander 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.