Remarks on the modulus of continuity of subharmonic functions
Complex Variables
2020-07-17 v1 Analysis of PDEs
Abstract
We introduce different classical characteristics used to regularize a subharmonic function and compare them. As an application we give a complete proof of a useful characterization of the modulus of continuity of such functions in terms of these characteristics under a technical condition. This result is extended to quasi-plurisubharmonic functions on a compact Hermitian manifold.
Keywords
Cite
@article{arxiv.2007.08399,
title = {Remarks on the modulus of continuity of subharmonic functions},
author = {Ahmed Zeriahi},
journal= {arXiv preprint arXiv:2007.08399},
year = {2020}
}