A mean value criterion for plurisubharmonic functions
Complex Variables
2021-05-25 v1
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.
Keywords
Cite
@article{arxiv.2105.11001,
title = {A mean value criterion for plurisubharmonic functions},
author = {Karim Rakhimov and Shomurod Shopulatov},
journal= {arXiv preprint arXiv:2105.11001},
year = {2021}
}