Minimal $L^2$ and $L^p$ Ohsawa-Takegoshi extensions

Yuanpu Xiong

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arXiv · 2308.08212

Minimal $L^2$ and $L^p$ Ohsawa-Takegoshi extensions

Yuanpu Xiong

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Abstract

We find a precise relationship between the minimal extensions in $L^2$ and $L^p$ Ohsawa-Takegoshi extension theorems. This relationship also gives another proof to the $L^p$ version of the Ohsawa-Takegoshi extension theorem, which is different from the original proof due to Berndtsson-P\u{a}un.

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Yuanpu Xiong. 2023-08-16. Minimal $L^2$ and $L^p$ Ohsawa-Takegoshi extensions. https://arxiv.org/abs/2308.08212

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