A Property of Azarin's Limit Set of Subharmonic Functions
Let v(z) be a subharmonic function of order ρ > 0, and Fr(v) be the limit set in the sense of Azarin. Let z be fixed and I(z) = {u(z) : u is in Fr(v)}. We prove that I(z) is either a closed interval or a semiclosed interval which does not contain its infimum.
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| Published in: | Журнал математической физики, анализа, геометрии |
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| Date: | 2008 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2008
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/106511 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | A Property of Azarin's Limit Set of Subharmonic Functions / A. Chouigui, A.F. Grishin // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 3. — С. 346-357. — Бібліогр.: 8 назв. — англ. |