Planar Lebesgue Measure of Exceptional Set in Approximation of Subharmonic Functions
Complex Variables
2010-01-08 v1
Abstract
We consider the pointwise approximation of a subharmonic function by the logarithm of the modulus of an entire function up to a bounded quantity. In the case of finite order an estimate from below of the planar Lebesgue measure of an exceptional set in such approximation is obtained.
Keywords
Cite
@article{arxiv.1001.1123,
title = {Planar Lebesgue Measure of Exceptional Set in Approximation of Subharmonic Functions},
author = {Markiyan Hirnyk},
journal= {arXiv preprint arXiv:1001.1123},
year = {2010}
}