English

Regularity of push-forward of Monge-Amp{\`e}re measures

Complex Variables 2017-12-29 v1

Abstract

We prove that the image under any dominant meromorphic map of the Monge-Amp{\`e}re measure of a H{\"o}lder continuous quasi-psh function still possesses a H{\"o}lder potential. We also discuss the case of lower regularity.

Keywords

Cite

@article{arxiv.1712.09884,
  title  = {Regularity of push-forward of Monge-Amp{\`e}re measures},
  author = {Eleonora Di Nezza and Charles Favre},
  journal= {arXiv preprint arXiv:1712.09884},
  year   = {2017}
}