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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| Published in: | Журнал математической физики, анализа, геометрии |
|---|---|
| Date: | 2009 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862592993632976896 |
|---|---|
| author | Girnyk, M. |
| author_facet | Girnyk, M. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | 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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| first_indexed | 2025-11-27T09:19:28Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106547 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-11-27T09:19:28Z |
| publishDate | 2009 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Girnyk, M. 2016-09-30T08:21:30Z 2016-09-30T08:21:30Z 2009 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. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106547 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. I would like to thank all the referees of the paper. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Planar Lebesgue Measure of Exceptional Set in Approximation of Subharmonic Functions Article published earlier |
| spellingShingle | Planar Lebesgue Measure of Exceptional Set in Approximation of Subharmonic Functions Girnyk, M. |
| title | Planar Lebesgue Measure of Exceptional Set in Approximation of Subharmonic Functions |
| title_full | Planar Lebesgue Measure of Exceptional Set in Approximation of Subharmonic Functions |
| title_fullStr | Planar Lebesgue Measure of Exceptional Set in Approximation of Subharmonic Functions |
| title_full_unstemmed | Planar Lebesgue Measure of Exceptional Set in Approximation of Subharmonic Functions |
| title_short | Planar Lebesgue Measure of Exceptional Set in Approximation of Subharmonic Functions |
| title_sort | planar lebesgue measure of exceptional set in approximation of subharmonic functions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106547 |
| work_keys_str_mv | AT girnykm planarlebesguemeasureofexceptionalsetinapproximationofsubharmonicfunctions |