Planar Lebesgue Measure of Exceptional Set in Approximation of Subharmonic Functions
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.
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| Date: | 2009 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2009
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| Series: | Журнал математической физики, анализа, геометрии |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/106547 |
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| 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. |