A simple proof of the Ohsawa-Takegoshi extension theorem

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Bo-Yong Chen This is my paper · ORCID

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keywords ohsawa-takegoshiproofd-bardirectdirectlyequationextensiongive

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We give a direct proof of the Ohsawa-Takegoshi by solving directly the d-bar equation.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms
math.CV 2026-07 conditional novelty 6.0 of 10

Siu's curvature operator A^E_{p,q} is characterized by an optimal L2 estimate and yields an Ohsawa–Takegoshi extension theorem for (p,q)-forms and local freeness of higher direct images.
An Ohsawa-Takegoshi-type $L^2$ extension for upper semi-continuous $L^2$-optimal functions
math.CV 2025-06 conditional novelty 5.0 of 10

An L2 extension theorem is proved for upper semi-continuous L2-optimal functions using Lebesgue differentiation, yielding new characterizations and integrability results.