On a remark by Ohsawa related to the Berndtsson-Lempert method for L2-holomorphic extension
Journal article, Peer reviewed
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Date
2022Metadata
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- Institutt for matematiske fag [2603]
- Publikasjoner fra CRIStin - NTNU [39860]
Abstract
In [15, Remark 4.1], Ohsawa asked whether it is possible to prove Theorem 4.1 and Theorem 0.1 in [15] using the Berndtsson–Lempert method. We shall answer Ohsawa’s question affirmatively in this paper. Our approach also suggests to introduce the Legendre–Fenchel theory and weak psh‑geodesics into the Berndtsson–Lempert method.