We give a new proof of Kiselman's minimum principle for plurisubharmonic functions, inspired by Demailly's regularization of plurisubharmonic functions by using Ohsawa–Takegoshi's extension theorem.
Nous donnons une nouvelle démonstration du principe du minimum de Kiselman pour les fonctions pluri-sous-harmoniques. Elle s'inspire de la régularisation des fonctions pluri-sous-harmoniques de Demailly, en utilisant le théorème d'extension d'Ohsawa–Takegoshi.
Accepted:
Published online:
@article{CRMATH_2019__357_4_345_0, author = {Deng, Fusheng and Wang, Zhiwei and Zhang, Liyou and Zhou, Xiangyu}, title = {A new proof of {Kiselman's} minimum principle for plurisubharmonic functions}, journal = {Comptes Rendus. Math\'ematique}, pages = {345--348}, publisher = {Elsevier}, volume = {357}, number = {4}, year = {2019}, doi = {10.1016/j.crma.2019.04.006}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2019.04.006/} }
TY - JOUR AU - Deng, Fusheng AU - Wang, Zhiwei AU - Zhang, Liyou AU - Zhou, Xiangyu TI - A new proof of Kiselman's minimum principle for plurisubharmonic functions JO - Comptes Rendus. Mathématique PY - 2019 SP - 345 EP - 348 VL - 357 IS - 4 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2019.04.006/ DO - 10.1016/j.crma.2019.04.006 LA - en ID - CRMATH_2019__357_4_345_0 ER -
%0 Journal Article %A Deng, Fusheng %A Wang, Zhiwei %A Zhang, Liyou %A Zhou, Xiangyu %T A new proof of Kiselman's minimum principle for plurisubharmonic functions %J Comptes Rendus. Mathématique %D 2019 %P 345-348 %V 357 %N 4 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2019.04.006/ %R 10.1016/j.crma.2019.04.006 %G en %F CRMATH_2019__357_4_345_0
Deng, Fusheng; Wang, Zhiwei; Zhang, Liyou; Zhou, Xiangyu. A new proof of Kiselman's minimum principle for plurisubharmonic functions. Comptes Rendus. Mathématique, Volume 357 (2019) no. 4, pp. 345-348. doi : 10.1016/j.crma.2019.04.006. http://archive.numdam.org/articles/10.1016/j.crma.2019.04.006/
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Cited by Sources:
☆ The authors are partially supported respectively by NSFC grants [NSFC-11871451], [NSFC-11701031], [NSFC-11671270], [NSFC-11688101]. The second author was partially supported by the Fundamental Research Funds for the Central Universities.