Optimal L²-extensions on tube domains and a simple proof of Prékopa's theorem

2021/03/23 by Inayama, Takahiro
#32U05 (Primary) #52A39 (Secondary) #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2103.12383

Abstract

We prove the optimal L²-extension theorem of Ohsawa-Takegoshi type on a tube domain. As an application, we give a simple proof of Prékopa's theorem.

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