Planar Lebesgue Measure of Exceptional Set in Approximation of Subharmonic Functions

Details Planar Lebesgue Measure of Exceptional Set in Approximation of Subharmonic Functions Planar Lebesgue Measure of Exceptional Set in Approximation of Subharmonic Functions

2010-01-07

arxiv.org/abs/1001.1123v1

Journal of Mathematical Physics, Analysis, Geometry 2009, vol. 5, No. 4, pp. 347-358

Mathematics

Complex Variables

Scientific paper

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.

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