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

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 Prékopa's theorem.

9 pages, comments are welcome. v2: minor revisions

References in corpus (1)

• Positivity of holomorphic vector bundles in terms of $L^p$-conditions of $\bar{\partial }$