The minimum of two plurisubharmonic functions and a new characterization of holomorphic functions

Jamel Abidi; Mohamed Lassaad Ben Yattou

Mathematica Bohemica (2011)

  • Volume: 136, Issue: 3, page 301-310
  • ISSN: 0862-7959

Abstract

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We prove, among other results, that min ( u , v ) is plurisubharmonic (psh) when u , v belong to a family of functions in psh ( D ) ∩ Λ α ( D ) , where Λ α ( D ) is the α -Lipchitz functional space with 1 < α < 2 . Then we establish a new characterization of holomorphic functions defined on open sets of ℂ n .

How to cite

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Abidi, Jamel, and Ben Yattou, Mohamed Lassaad. "Le minimum de deux fonctions plurisousharmoniques et une nouvelle caracterisation des fonctions holomorphes." Mathematica Bohemica 136.3 (2011): 301-310. <http://eudml.org/doc/196435>.

@article{Abidi2011,
author = {Abidi, Jamel, Ben Yattou, Mohamed Lassaad},
journal = {Mathematica Bohemica},
keywords = {maximum principle; plurisubharmonic function; maximum principle; plurisubharmonic function},
language = {fre},
number = {3},
pages = {301-310},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Le minimum de deux fonctions plurisousharmoniques et une nouvelle caracterisation des fonctions holomorphes},
url = {http://eudml.org/doc/196435},
volume = {136},
year = {2011},
}

TY - JOUR
AU - Abidi, Jamel
AU - Ben Yattou, Mohamed Lassaad
TI - Le minimum de deux fonctions plurisousharmoniques et une nouvelle caracterisation des fonctions holomorphes
JO - Mathematica Bohemica
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 136
IS - 3
SP - 301
EP - 310
LA - fre
KW - maximum principle; plurisubharmonic function; maximum principle; plurisubharmonic function
UR - http://eudml.org/doc/196435
ER -

References

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