The Dirichlet problem for the complex Hessian operator in the class $\mathcal{N}_m(H)$
Complex Variables
2017-12-20 v1
Abstract
We prove that, in a -hyperconvex domain in if a non-negative Borel measure is dominated by a complex Hessian measure, then it is a complex Hessian measure of a function in the class . This is an extension of P. {\AA}hg, U. Cegrell, R. Czy\.z and P.H. Hiep's result in \cite{ACCH}.
Keywords
Cite
@article{arxiv.1712.06911,
title = {The Dirichlet problem for the complex Hessian operator in the class $\mathcal{N}_m(H)$},
author = {Ayoub El-Gasmi},
journal= {arXiv preprint arXiv:1712.06911},
year = {2017}
}