Growth Estimates and Integral Representations of Harmonic and Subharmonic Functions
Functional Analysis
2009-06-10 v1 Complex Variables
Abstract
There are ten chapters in this dissertation, which focuses on nine contents: growth estimates for a class of subharmonic functions in the half plane; growth estimates for a class of subharmonic functions in the half space; a generalization of harmonic majorants; properties of limit for Poisson integral; a lower bound for a class of harmonic functions in the half space; the Carleman formula of subharmonic functions in the half space; a generalization of the Nevanlinna formula for analytic functions in the right half plane; integral representations of harmonic functions in the half plane; integral representations of harmonic functions in the half space.
Cite
@article{arxiv.0906.1679,
title = {Growth Estimates and Integral Representations of Harmonic and Subharmonic Functions},
author = {Guoshuang Pan},
journal= {arXiv preprint arXiv:0906.1679},
year = {2009}
}
Comments
PhD. Thesis