Optimal L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^2$$\end{document}-Extensions on Tube Domains and a Simple Proof of Prékopa’s Theorem

被引：0
作者：
Takahiro Inayama
机构：
[1] Tokyo University of Science,Department of Mathematics, Faculty of Science and Technology
来源：
The Journal of Geometric Analysis | 2022年 / 32卷 / 1期
关键词：
Prékopa’s theorem; -extension; Convexity; Minimal extension property; 32U05; 52A39;
D O I：
10.1007/s12220-021-00796-w
中图分类号：
学科分类号：
摘要：
We prove the optimal L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^2$$\end{document}-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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