「名誉教授」のスレ 5

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https://rio2016.5ch.io/test/read.cgi/math/1779720068/

>>324
>B. Y. Chen, A simple proof of the Ohsawa-Takegoshi extension theorem, arXiv: 1105.2430v1. 2.

＜補足文献＞
https://arxiv.org/abs/1105.2430
Mathematics > Complex Variables
[Submitted on 12 May 2011]
A simple proof of the Ohsawa-Takegoshi extension theorem
Bo-Yong Chen
We give a direct proof of the Ohsawa-Takegoshi by solving directly the d-bar equation.

https://arxiv.org/abs/1212.4184
Mathematics > Complex Variables
[Submitted on 17 Dec 2012 (v1), last revised 28 Mar 2013 (this version, v3)]
Weighted Bergman spaces and the ∂¯−equation
Bo-Yong Chen
We give a Hörmander type L2−estimate for the ∂¯−equation with respect to the measure δ−αΩdV, α<1, on any bounded pseudoconvex domain with C2−boundary.

Universitatis Iagellonicae Acta Mathematica
Archives
Volume 50
On the Ohsawa–Takegoshi extension theorem

On the Ohsawa–Takegoshi extension theorem

Publication date: 05.06.2012

Universitatis Iagellonicae Acta Mathematica, 2012, Volume 50, pp. 53-61
https://doi.org/10.4467/20843828AM.12.003.1122
Authors
Zbigniew Błocki
Download full text
https://ejournals.eu/en/journal_article_files/full_text/018eced3-8567-7013-9d2e-159b9f3e4cdf/download
Abstract
English
Motivated by a recent work by B.-Y. Chen we prove a new estimate for the ∂¯-operator, which easily implies the Ohsawa–Takegoshi extension theorem. We essentially only use the classical H¨ormander esti- mate. This method gives the same constant as the one recently obtained by Guan–Zhou–Zhu.

>>367 補足
Zbigniew Błockiさん url抜けたので追加する

Universitatis Iagellonicae Acta Mathematica, 2012, Volume 50, pp. 53-61
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https://ejournals.eu/en/journal/universitatis-iagellonicae-acta-mathematica/article/on-the-ohsawa-takegoshi-extension-theorem