Approximation of subharmonic functions in the unit disk
Complex Variables
2008-07-08 v1
Abstract
Let u be a subharmonic function in D={|z|<1}. There exist an absolute constant C and an analytic function f in D such that \int_D |u(z)-log|f(z)|| dm(z)<C where m denotes the plane Lebesgue measure. We also consider uniform approximation.
Cite
@article{arxiv.0807.0856,
title = {Approximation of subharmonic functions in the unit disk},
author = {Igor Chyzhykov},
journal= {arXiv preprint arXiv:0807.0856},
year = {2008}
}
Comments
25 pages