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A mean value criterion for plurisubharmonic functions

Karim RakhimovCNRS, Univ. Lille, Lille, FranceShomurod ShopulatovV.I.Romanovskiy Institute of Mathematics AS RUz, Tashkent, Uzbekistan
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Аннотация

In this paper, we prove a criterion for plurisubharmonic functions in terms of integral mean by complex ellipsoids. Moreover, by using the criterion, we prove an analogue of Blaschke–Privalov theorem for plurisubharmonic functions.

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