Regularity of the plurisubharmonic envelope in strictly pseudoconvex domains

Slawomir Dinew

Regularity of the plurisubharmonic envelope in strictly pseudoconvex domains

Complex Variables 2017-06-20 v2 Analysis of PDEs

Authors: Slawomir Dinew

Abstract

We study the plurisubharmonic envelopes of functions in the setting of domains in $\mathbb C^n$ . In particular we prove a complex analogue of a result of De Philippis and Figalli concerning the optimal regularity of such envelopes in smooth strictly pseudoconvex domains.

Keywords

plurisubharmonic envelope strictly pseudoconvex domains optimal regularity complex analysis several complex variables

Cite

@article{arxiv.1703.07727,
  title  = {Regularity of the plurisubharmonic envelope in strictly pseudoconvex domains},
  author = {Slawomir Dinew},
  journal= {arXiv preprint arXiv:1703.07727},
  year   = {2017}
}

Comments

There is a mistake in the proof of main result

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