An elementary proof of the Ohsawa-Takegoshi extension theorem

In this paper we give an alternative proof of the Ohsawa-Takegoshi extension theorem. We prove the theorem using three weight functions which Hö rmander used to obtain L2 estimates for solutions of the ∂ problem in pseudoconvex domains.

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Bibliographische Detailangaben
Veröffentlicht in:	Mathematical Journal of Ibaraki University 2013, Vol.45, pp.33-51
1. Verfasser:	Kenzô, Adachi
Format:	Artikel
Sprache:	eng
Schlagworte:	L2 extension of holomorphic functions pseudoconvex domain
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Beschreibung
Zusammenfassung:	In this paper we give an alternative proof of the Ohsawa-Takegoshi extension theorem. We prove the theorem using three weight functions which Hö rmander used to obtain L2 estimates for solutions of the ∂ problem in pseudoconvex domains.
ISSN:	1343-3636 1883-4353
DOI:	10.5036/mjiu.45.33