Optimal L2 -Extensions on Tube Domains and a Simple Proof of Prékopa’s Theorem

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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.

Original languageEnglish
Article number32
JournalJournal of Geometric Analysis
Volume32
Issue number1
DOIs
Publication statusPublished - Jan 2022

Keywords

  • Convexity
  • L-extension
  • Minimal extension property
  • Prékopa’s theorem

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