Quasi-nearly subharmonicity and separately quasi-nearly subharmonic functions
| dc.creator | Riihentaus, Juhani | |
| dc.date | 2008-02-25 | |
| dc.date | 2008-10-16 | |
| dc.date.accessioned | 2026-07-07T10:10:08Z | |
| dc.date.available | 2026-07-07T10:10:08Z | |
| dc.description | Wiegerinck has shown that a separately subharmonic function need not be subharmonic. Improving previous results of Lelong, of Avanissian, of Arsove and of us, Armitage and Gardiner gave an almost sharp integrability condition which ensures a separately subharmonic function to be subharmonic. Completing now our recent counterparts to the cited results of Lelong, Avanissian and Arsove for so called quasi-nearly subharmonic functions, we present a counterpart to the cited result of Armitage and Gardiner for separately quasi-nearly subharmonic functions. This counterpart enables us to slightly improve Armitage's and Gardiner's original result, too. The method we use is a rather straightforward and technical, but still by no means easy, modification of Armitage's and Gardiner's argument combined with an old argument of Domar. | |
| dc.description | Some misprints of the previous version arXiv:0802.3505v1, 25 Feb 2008, corrected, some final publication details and also a couple of references added. In addition, the publication information is given | |
| dc.identifier | https://arxiv.org/abs/0802.3505 | |
| dc.identifier | http://arxiv.org/abs/0802.3505 | |
| dc.identifier | Journal of Inequalities and Applications, Volume 2008 (2008), Article ID 149712, 15 pages | |
| dc.identifier | doi:10.1155/2008/149712 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171526 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 31B05; 31C05 | |
| dc.title | Quasi-nearly subharmonicity and separately quasi-nearly subharmonic functions | |
| dc.type | text |