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A mean value criterion for plurisubharmonic functions
Complex Variables and Elliptic Equations ( IF 0.9 ) Pub Date : 2021-07-27 , DOI: 10.1080/17476933.2021.1954623
Karim Rakhimov 1 , Shomurod Shopulatov 2
Affiliation  

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.



中文翻译:

多次谐波函数的平均值准则

在本文中,我们用复椭球的积分均值证明了多次谐波函数的判据。此外,通过使用该准则,我们证明了多次谐波函数的 Blaschke-Privalov 定理的类似物。

更新日期:2021-07-27
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