Jamel Abidi, Mohamed Lassad Ben Yattou, Département de Mathématique, Faculté des Sciences de Tunis, 1060-Tunis, Tunisia, e-mail: abidijamel1@yahoo.fr
Abstract: We prove, among other results, that $\min(u,v)$ is plurisubharmonic (psh) when $u,v$ belong to a family of functions in $ 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 $\mathbb{C}^n.$
Keywords: maximum principle, plurisubharmonic function
Classification (MSC 2010): 32A10, 32D20, 32U05, 32U30
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