Domination Conditions for Families of Quasinearly Subharmonic Functions
Domar has given a condition that ensures the existence of the largest subharmonic minorant of a given function. Later Rippon pointed out that a modification of Domar's argument gives in fact a better result. Using our previous, rather general and flexible, modification of Domar's original...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/729849 |
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| _version_ | 1841524851052904448 |
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| author | Juhani Riihentaus |
| author_facet | Juhani Riihentaus |
| author_sort | Juhani Riihentaus |
| collection | DOAJ |
| description | Domar has given a condition that ensures the existence of the largest subharmonic minorant of a
given function. Later Rippon pointed out that a modification of Domar's argument gives in fact a better result.
Using our previous, rather general and flexible, modification of Domar's original argument, we extend their
results both to the subharmonic and quasinearly subharmonic settings. |
| format | Article |
| id | doaj-art-493aeda4dbb74e4193180d56ce94efea |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-493aeda4dbb74e4193180d56ce94efea2025-02-03T05:47:16ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/729849729849Domination Conditions for Families of Quasinearly Subharmonic FunctionsJuhani Riihentaus0Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, 90014 Oulun Yliopisto, FinlandDomar has given a condition that ensures the existence of the largest subharmonic minorant of a given function. Later Rippon pointed out that a modification of Domar's argument gives in fact a better result. Using our previous, rather general and flexible, modification of Domar's original argument, we extend their results both to the subharmonic and quasinearly subharmonic settings.http://dx.doi.org/10.1155/2011/729849 |
| spellingShingle | Juhani Riihentaus Domination Conditions for Families of Quasinearly Subharmonic Functions International Journal of Mathematics and Mathematical Sciences |
| title | Domination Conditions for Families of Quasinearly Subharmonic Functions |
| title_full | Domination Conditions for Families of Quasinearly Subharmonic Functions |
| title_fullStr | Domination Conditions for Families of Quasinearly Subharmonic Functions |
| title_full_unstemmed | Domination Conditions for Families of Quasinearly Subharmonic Functions |
| title_short | Domination Conditions for Families of Quasinearly Subharmonic Functions |
| title_sort | domination conditions for families of quasinearly subharmonic functions |
| url | http://dx.doi.org/10.1155/2011/729849 |
| work_keys_str_mv | AT juhaniriihentaus dominationconditionsforfamiliesofquasinearlysubharmonicfunctions |