Email this article On quasinearly subharmonic functions
- Authors: Dovgoshey O.1, Riihentaus J.2,3
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Affiliations:
- Institute of Applied Mathematics and Mechanics of the NASU
- Department of Mathematical Sciences
- Department of Physics and Mathematics
- Issue: Vol 38, No 2 (2017)
- Pages: 245-254
- Section: Article
- URL: https://bakhtiniada.ru/1995-0802/article/view/198931
- DOI: https://doi.org/10.1134/S1995080217020068
- ID: 198931
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Abstract
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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About the authors
O. Dovgoshey
Institute of Applied Mathematics and Mechanics of the NASU
Author for correspondence.
Email: aleksdov@mail.ru
Ukraine, ul. Dobrovol’skogo 1, Sloviansk, 84100
J. Riihentaus
Department of Mathematical Sciences; Department of Physics and Mathematics
Email: aleksdov@mail.ru
Finland, Oulun Yliopisto, FI—90014; Joensuu, FI—80101
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