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Optimal regularity of plurisubharmonic envelopes on compact Hermitian manifolds

Optimal regularity of plurisubharmonic envelopes on compact Hermitian manifolds
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摘要 In this paper, we prove the C^(1,1)-regularity of the plurisubharmonic envelope of a C^(1,1) function on a compact Hermitian manifold. We also present the examples to show this regularity is sharp. In this paper, we prove the C^(1,1)-regularity of the plurisubharmonic envelope of a C^(1,1) function on a compact Hermitian manifold. We also present the examples to show this regularity is sharp.
出处 《Science China Mathematics》 SCIE CSCD 2019年第2期371-380,共10页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China (Grant Nos. 11571018 and 11331001)
关键词 complex Monge-Ampère EQUATIONS plurisubharmonic FUNCTIONS ENVELOPES HERMITIAN MANIFOLDS complex Monge-Ampère equations plurisubharmonic functions envelopes Hermitian manifolds
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