A Remark On C^{2,\alpha}-Regularity of the Complex Monge-Amp\`ere Equation
Complex Variables
2011-11-04 v1
Abstract
We prove the -regularity of the solution of the equation [\det(u_{\bar{k} j}) = f, \quad f^{1/n} \in C^{\alpha}, \quad f \geq \lambda] under the assumption in upper bound of . Our result settles down the regularity problem related to the paper \cite{Tian} (also see \cite{Zhang}).
Keywords
Cite
@article{arxiv.1111.0902,
title = {A Remark On C^{2,\alpha}-Regularity of the Complex Monge-Amp\`ere Equation},
author = {Yu Wang},
journal= {arXiv preprint arXiv:1111.0902},
year = {2011}
}