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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862724086308798464 |
|---|---|
| author | Chouigui, A. Grishin, A.F. |
| author_facet | Chouigui, A. Grishin, A.F. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | 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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| first_indexed | 2025-12-07T18:45:38Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106511 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T18:45:38Z |
| publishDate | 2008 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Chouigui, A. Grishin, A.F. 2016-09-29T19:03:58Z 2016-09-29T19:03:58Z 2008 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. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106511 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. The authors thank Prof. D. Drasin, Prof. S. Merenkov and the reviewer for the help in preparing this paper. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии A Property of Azarin's Limit Set of Subharmonic Functions Article published earlier |
| spellingShingle | A Property of Azarin's Limit Set of Subharmonic Functions Chouigui, A. Grishin, A.F. |
| title | A Property of Azarin's Limit Set of Subharmonic Functions |
| title_full | A Property of Azarin's Limit Set of Subharmonic Functions |
| title_fullStr | A Property of Azarin's Limit Set of Subharmonic Functions |
| title_full_unstemmed | A Property of Azarin's Limit Set of Subharmonic Functions |
| title_short | A Property of Azarin's Limit Set of Subharmonic Functions |
| title_sort | property of azarin's limit set of subharmonic functions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106511 |
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