4.5 Article

Optimal L2-Extensions on Tube Domains and a Simple Proof of Prekopa's Theorem

Journal

JOURNAL OF GEOMETRIC ANALYSIS
Volume 32, Issue 1, Pages -

Publisher

SPRINGER
DOI: 10.1007/s12220-021-00796-w

Keywords

Prekopa's theorem; L-2-extension; Convexity; Minimal extension property

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We prove the optimal L-2-extension theorem of Ohsawa-Takegoshi type on a tube domain and provide a simple proof of Prekopa's theorem.
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 Prekopa's theorem.

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