English

Optimal regularity of plurisubharmonic envelopes on compact Hermitian manifolds

Analysis of PDEs 2017-10-03 v3 Complex Variables

Abstract

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

Keywords

Cite

@article{arxiv.1702.05230,
  title  = {Optimal regularity of plurisubharmonic envelopes on compact Hermitian manifolds},
  author = {Jianchun Chu and Bin Zhou},
  journal= {arXiv preprint arXiv:1702.05230},
  year   = {2017}
}

Comments

14 pages; final version to appear in SCIENCE CHINA Mathematics