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.
Збережено в:
| Дата: | 2009 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2009
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| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/106547 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-106547 |
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irk-123456789-1065472016-10-01T03:01:58Z Planar Lebesgue Measure of Exceptional Set in Approximation of Subharmonic Functions Girnyk, M. 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. 2009 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/106547 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Girnyk, M. |
| spellingShingle |
Girnyk, M. Planar Lebesgue Measure of Exceptional Set in Approximation of Subharmonic Functions Журнал математической физики, анализа, геометрии |
| author_facet |
Girnyk, M. |
| author_sort |
Girnyk, M. |
| title |
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_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_sort |
planar lebesgue measure of exceptional set in approximation of subharmonic functions |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/106547 |
| 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. |
| series |
Журнал математической физики, анализа, геометрии |
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AT girnykm planarlebesguemeasureofexceptionalsetinapproximationofsubharmonicfunctions |
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2023-10-18T20:13:11Z |
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2023-10-18T20:13:11Z |
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1796149286965084160 |