A characterization of the degenerate complex Hessian equations for functions with bounded $(p,m)$-energy
Complex Variables
2020-03-16 v1 Differential Geometry
Abstract
By proving an estimate of the sublevel sets for -subharmonic functions we obtain a Sobolev type inequality that is then used to characterize the degenerate complex Hessian equations for such functions with bounded -energy.
Keywords
Cite
@article{arxiv.2003.06157,
title = {A characterization of the degenerate complex Hessian equations for functions with bounded $(p,m)$-energy},
author = {Per Ahag and Rafal Czyz},
journal= {arXiv preprint arXiv:2003.06157},
year = {2020}
}