On a family of quasimetric spaces in generalized potential theory
Complex Variables
2021-10-07 v1 Differential Geometry
General Topology
Abstract
We construct a family of quasimetric spaces in generalized potential theory containing -subharmonic functions with finite -energy. These quasimetric spaces will be viewed both in and in compact K\"ahler manifolds, and their convergence will be used to improve known stability results for the complex Hessian equations.
Keywords
Cite
@article{arxiv.2110.02611,
title = {On a family of quasimetric spaces in generalized potential theory},
author = {Per Ahag and Rafal Czyz},
journal= {arXiv preprint arXiv:2110.02611},
year = {2021}
}