Optimal regularity of plurisubharmonic envelopes on compact Hermitian manifolds

被引：20

作者：

Chu, Jianchun ^{[1
]}

Zhou, Bin ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2019年 / 62卷 / 02期

基金：

中国国家自然科学基金;

关键词：

complex Monge-Ampere equations; plurisubharmonic functions; envelopes; Hermitian manifolds; MONGE-AMPERE EQUATIONS; CURVATURE;

D O I：

10.1007/s11425-017-9173-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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

引用

页码：371 / 380

页数：10

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