Minimal $L^2$ and $L^p$ Ohsawa-Takegoshi extensions

Yuanpu Xiong

Minimal $L^2$ and $L^p$ Ohsawa-Takegoshi extensions

Complex Variables 2023-08-17 v1

Authors: Yuanpu Xiong

Abstract

We find a precise relationship between the minimal extensions in $L^2$ and $L^p$ Ohsawa-Takegoshi extension theorems. This relationship also gives another proof to the $L^p$ version of the Ohsawa-Takegoshi extension theorem, which is different from the original proof due to Berndtsson-P\u{a}un.

Keywords

ohsawa-takegoshi theorem minimal extension l2 spaces lp spaces several complex variables

Cite

@article{arxiv.2308.08212,
  title  = {Minimal $L^2$ and $L^p$ Ohsawa-Takegoshi extensions},
  author = {Yuanpu Xiong},
  journal= {arXiv preprint arXiv:2308.08212},
  year   = {2023}
}

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