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On growth majorants of subharmonic functions |
| Author |
Yu. S. Protsyk, Ya. V. Vasyl’kiv
yu.protsyk@gmail.com, yavvasylkiv@gmail.com
Technological Faculty,
Ukrainian National Forestry University; Faculty of Mechanics and Mathematics,
Lviv National University
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| Abstract |
We describe growth majorants of subharmonic in $\mathbb{R}^m\ (m\ge2)$ functions. To do this, we
exceptionally reduce the problem to problems in the theory of positive monotonous functions. |
| Keywords |
subharmonic function; growth majorants |
| Reference |
1. Yu.S. Protsyk, Growth majorants and canonical representation of delta-subharmonic functions, Mat. Stud.
20 (2003), ¹1, 40–52. (in Ukrainian)
2. M.G. Arsove, Function representable as differences of subharmonic functions, Trans. Amer. Math. Soc.
75 (1953), 327–365.
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| Pages |
73-76 |
| Volume |
36 |
| Issue |
1 |
| Year |
2011 |
Journal |
Matematychni Studii |
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