Optimal $L^2$-extensions on tube domains and a simple proof of Pr\'ekopa's theorem

Takahiro Inayama

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arXiv · 2103.12383

Optimal $L^2$-extensions on tube domains and a simple proof of Pr\'ekopa's theorem

Takahiro Inayama

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Abstract

We prove the optimal $L^2$-extension theorem of Ohsawa-Takegoshi type on a tube domain. As an application, we give a simple proof of Pr\'ekopa's theorem.

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Takahiro Inayama. 2021-03-23. Optimal $L^2$-extensions on tube domains and a simple proof of Pr\'ekopa's theorem. https://arxiv.org/abs/2103.12383

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