Optimal regularity of plurisubharmonic envelopes on compact Hermitian manifolds

• 作 者: Jianchun Chu Bin Zhou
• 机 构: SchoolofMathematicalSciences
• 出 处: 中国科学:数学英文版
• 发表日期: 2019年2期
• 关键词: complex Monge-Ampère EQUATIONS plurisubharmonic functions ENVELOPES HERMITI
• 基金项目: National Natural Science Foundation of China (Grant Nos.11571018 and 11331001).

In this paper, we prove the C1,1-regularity of the plurisubharmonic envelope of a C1,1 function on a compact Hermitian manifold. We also present the examples to show this regularity is sharp.