Separately Subharmonic and Harmonic Functions are Subharmonic
Complex Variables
2009-06-09 v4
Abstract
We will prove that a function u(x,y) defined on a domain of RpxRq that is subharmonic in one variable and harmonic in the other is (jointly) subharmonic. This solves a long-standing open problem.
Cite
@article{arxiv.0905.0712,
title = {Separately Subharmonic and Harmonic Functions are Subharmonic},
author = {Mansour Kalantar},
journal= {arXiv preprint arXiv:0905.0712},
year = {2009}
}
Comments
The paper has been withdrawn, because of an error