Geodesic
Le minimum de deux fonctions plurisousharmoniques et une nouvelle caracterisation des fonctions holomorphes
Mathematica Bohemica, Tome 136 (2011) no. 3, pp. 301-310

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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 ${\rm psh}(D)\cap \Lambda _{\alpha }(D),$ where $\Lambda _{\alpha }(D)$ is the $\alpha $-Lipchitz functional space with $1\alpha 2.$ Then we establish a new characterization of holomorphic functions defined on open sets of $\mathbb {C}^n.$
We prove, among other results, that $\min (u,v)$ is plurisubharmonic (psh) when $u,v$ belong to a family of functions in ${\rm psh}(D)\cap \Lambda _{\alpha }(D),$ where $\Lambda _{\alpha }(D)$ is the $\alpha $-Lipchitz functional space with $1\alpha 2.$ Then we establish a new characterization of holomorphic functions defined on open sets of $\mathbb {C}^n.$
DOI : 10.21136/MB.2011.141651
Classification : 32A10, 32D20, 32U05, 32U30
Mots-clés : maximum principle; plurisubharmonic function 
Abidi, Jamel; Ben Yattou, Mohamed Lassaad. Le minimum de deux fonctions plurisousharmoniques et une nouvelle caracterisation des fonctions holomorphes. Mathematica Bohemica, Tome 136 (2011) no. 3, pp. 301-310. doi: 10.21136/MB.2011.141651
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