Article

A mean value criterion for plurisubharmonic functions

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

Complex Variables and Elliptic Equationsjournal2021en

ABI

Abstract

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.

Topics

Holomorphic and Operator Theory Geometry and complex manifolds Algebraic and Geometric Analysis

Identifiers

DOI: 10.1080/17476933.2021.1954623

Citations and references

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