English

The smoothing of $m$-subharmonic functions

Complex Variables 2014-04-24 v2 Analysis of PDEs

Abstract

We prove Richberg type theorem for mm-subharmonic function. The main tool is the complex Hessian equation for which we obtain the existence of the unique smooth solution in strictly pseudoconvex domains.

Keywords

Cite

@article{arxiv.1312.1906,
  title  = {The smoothing of $m$-subharmonic functions},
  author = {Szymon Pliś},
  journal= {arXiv preprint arXiv:1312.1906},
  year   = {2014}
}
R2 v1 2026-06-22T02:22:27.739Z