Regularization Of $m$-subharmonic Functions And H\"Older Continuity
Analysis of PDEs
2022-09-01 v1 Complex Variables
Abstract
We use sup-convolution to find upper approximations of a bounded -subharmonic function on a compact K\"ahler manifold with nonnegative holomorphic bisectional curvature. As an application, we show the H\"older continuity of solutions to equation when the right hand side is in , . All these results generalize to more general complex Hessian equations.
Cite
@article{arxiv.2208.14539,
title = {Regularization Of $m$-subharmonic Functions And H\"Older Continuity},
author = {Jingrui Cheng and Yulun Xu},
journal= {arXiv preprint arXiv:2208.14539},
year = {2022}
}