On the Moser-Trudinger inequality in complex space
Complex Variables
2019-07-09 v1 Analysis of PDEs
Abstract
In this paper we prove the pluricomplex counterpart of the Moser-Trudinger and Sobolev inequalities in complex space. We consider these inequalities for plurisubharmonic functions with finite pluricomplex energy, and we estimate the concerned constants.
Cite
@article{arxiv.1808.08078,
title = {On the Moser-Trudinger inequality in complex space},
author = {Per Ahag and Rafal Czyz},
journal= {arXiv preprint arXiv:1808.08078},
year = {2019}
}