On quasinearly subharmonic functions
- Авторы: Dovgoshey O.1, Riihentaus J.2,3
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Учреждения:
- Institute of Applied Mathematics and Mechanics of the NASU
- Department of Mathematical Sciences
- Department of Physics and Mathematics
- Выпуск: Том 38, № 2 (2017)
- Страницы: 245-254
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198931
- DOI: https://doi.org/10.1134/S1995080217020068
- ID: 198931
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Аннотация
We recall the definition of quasinearly subharmonic functions, point out that this function class includes, among others, subharmonic functions, quasisubharmonic functions, nearly subharmonic functions and essentially almost subharmonic functions. It is shown that the sum of two quasinearly subharmonic functions may not be quasinearly subharmonic. Moreover, we characterize the harmonicity via quasinearly subharmonicity.
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Об авторах
O. Dovgoshey
Institute of Applied Mathematics and Mechanics of the NASU
Автор, ответственный за переписку.
Email: aleksdov@mail.ru
Украина, ul. Dobrovol’skogo 1, Sloviansk, 84100
J. Riihentaus
Department of Mathematical Sciences; Department of Physics and Mathematics
Email: aleksdov@mail.ru
Финляндия, Oulun Yliopisto, FI—90014; Joensuu, FI—80101
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