@article{d975ca6c4e1b421c9437274b3a866e78,
title = "Optimal regularity of plurisubharmonic envelopes on compact Hermitian manifolds",
abstract = " 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. ",
keywords = "32U05, 32W20, Hermitian manifolds, complex Monge-Amp{\`e}re equations, envelopes, plurisubharmonic functions",
author = "Jianchun Chu and Bin Zhou",
note = "Funding Information: Acknowledgements This work was supported by National Natural Science Foundation of China (Grant Nos. 11571018 and 11331001). The first author would like to thank his advisor Professor G. Tian for encouragement and support. After finishing writing this preprint, the authors learned that Theorem 1.1 in the case of K{\"a}hler manifolds was independently obtained by Tosatti [25]. Publisher Copyright: {\textcopyright} 2019, Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature.",
year = "2019",
month = feb,
day = "1",
doi = "10.1007/s11425-017-9173-0",
language = "English (US)",
volume = "62",
pages = "371--380",
journal = "Science China Mathematics",
issn = "1674-7283",
publisher = "Science in China Press",
number = "2",
}