Planar Lebesgue Measure of Exceptional Set in Approximation of Subharmonic Functions

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2009
• Main Author: Girnyk, M.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106547
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Planar Lebesgue Measure of Exceptional Set in Approximation of Subharmonic Functions / M. Girnyk // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 4. — С. 347-358. — Бібліогр.: 13 назв. — англ.

We consider the pointwise approximation of a subharmonic function having ¯nite 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.