• Corpus ID: 118785245

Extension of L^2, di-bar-closed, forms

@article{Baracco2015ExtensionOL,
  title={Extension of L^2, di-bar-closed, forms},
  author={Luca Baracco and Stefano Pinton and Giuseppe Zampieri},
  journal={arXiv: Complex Variables},
  year={2015}
}
We prove extension of a di-bar-closed, smooth, form from the intersection of a pseudoconvex domain with a complex hyperplane to the whole domain. The extension form is di-bar-closed, has harmonic coefficients and its L^2-norm is estimated by the L^2-norm of the trace. For holomorphic functions this is proved by Ohsawa-Takegoshi [12]. For forms of higher degree, this is stated by Manivel [9]. It seems, however, that the proof contains a gap because of the use of a a singular weight and the… 
1 Citations

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Un théorème de prolongementL2 de sections holomorphes d'un fibré hermitien