• 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}
}
• Published 2 May 2015
• Mathematics
• arXiv: Complex Variables
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
• Mathematics
The Journal of Geometric Analysis
• 2022
Combining V. Koziarz's observation about the regularity of some modified section related to the initial extension with J. McNeal--D. Varolin's regularity argument, we generalize two theorems of

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• Mathematics
• 2015
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