Planar Lebesgue Measure of Exceptional Set in Approximation of Subharmonic Functions

Анотація

We consider the pointwise approximation of a subharmonic function having finite order by the logarithm of the modulus of an function up to a bounded quantity. We prove an estimate from below of the planar Lebesgue measure of the exceptional Set in such approximation.

Mathematics Subject Classification: 31C05, 30E10