@article{Wang2021, 
author = {Jiaxiang Wang and Xu-Jia Wang and Bin Zhou},
title = {A Priori Estimate for the Complex Monge–Ampère Equation},
year = {2021},
journal = {Peking Mathematical Journal},
volume = {4},
number = {1},
pages = {143-157},
keywords = {Complex Monge–Ampère equation, Moser–Trudinger inequality, Regularity},
url = {https://www.sciopen.com/article/10.1007/s42543-020-00025-3},
doi = {10.1007/s42543-020-00025-3},
abstract = {In this paper, we use the Sobolev type inequality in Wang et al. (Moser–Trudinger inequality for the complex Monge–Ampère equation, arXiv: 2003.06056v1 (2020)) to establish the uniform estimate and the Hölder continuity for solutions to the complex Monge–Ampère equation with the right-hand side in  Lp for any given  p>1. Our proof uses various PDE techniques but not the pluripotential theory.}
}