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q-subharmonicity and q-convex domains in Cn

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In this paper we study q-subharmonic and q-plurisubharmonic functions in Cn. Next as an application, we give the notion of q-convex domains in Cn which is an extension of weakly q-convex domains introduced and investigated in [10]. In the end of the paper we show that the q-convexity is the local property and give some examples about q-convex domains |