An elementary proof of the Ohsawa-Takegoshi extension theorem
type: Item
instance of: scholarly article
title: An elementary proof of the Ohsawa-Takegoshi extension theorem
zbMATH Open document ID: 1282.32003
author: Kenzō Adachi
published in: Mathematical Journal of Ibaraki University
publication date: 2013-11-19T00:00:00Z
Mathematics Subject Classification ID: 32A26
Mathematics Subject Classification ID: 32D15
zbMATH DE Number: 6229388
zbMATH Keywords: Hormander \(L^2\) estimates
zbMATH Keywords: holomorphic extension
MaRDI profile type: Publication
full work available at URL: mjiu.45.33
OpenAlex ID: W2313617183
DOI: 10.5036/MJIU.45.33
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review text: The paper contains a different proof of the famous Ohsawa-Takegoshi theorem on the extension of a holomorphic function defined on an intersection of a hyperplane and a bounded pseudoconvex domain to the whole domain with the control of a weighted \(L^2\) norm of the function. The proof is based on a variant of Hörmander's \(L^2\) estimates for the \(\overline{\partial}\) operator.
reviewed by: Slawomir Kołodziej
description: scientific article; zbMATH DE number 6229388