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arXiv · 2105.11001

A mean value criterion for plurisubharmonic functions

Karim Rakhimov·Shomurod Shopulatov
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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.

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Karim Rakhimov, Shomurod Shopulatov. 2021-05-23. A mean value criterion for plurisubharmonic functions. https://arxiv.org/abs/2105.11001

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