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Subharmonic functions and electric fields in ball layers. II |
| Author |
O. P. Gnatiuk, A. A. Kondratyuk
kond@franko.lviv.ua,
oksanka.gnatyuk@gmail.com
Lviv National University
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| Abstract |
In this sequel to [1] we study a special case $BL(\frac{1}{r},r),\ r>1$. Also the explicit representation
of a subharmonic extension for a subharmonic function $u(x)$ near a removable point is obtained.
Moreover, the diverse Nevanlinna characteristics are compared. |
| Keywords |
subharmonic function; Nevanlinna characteristic |
| Reference |
1. Gnatiuk O.P., Kondratyuk A.A. Subharmonic functions in ball layers. I// Mat. Stud. – 2010. – V.34, ¹2.
– P. 180–192.
2. Hayman W.K., Kennedy P.B. Subharmonic functions – Mir, Moscow, 1980. (in Russian)
3. Gardiner S.J. Removable singularities for subharmonic functions// Pac. J. Math. – 1991. – V.147. –
P. 71–80.
4. Riihentaus J. Removable sets for subharmonic functions// Pac. J. Math. – 2000. – V.194. – P. 199–208.
5. Klimek M. Pluripotential theory. – Clarendon Press, 1991, – 59 p.
6. Kondratyuk A., Laine I. Meromorphic functions in multiply connected domains, Univ. Joensuu Dept.
Math. Rep. Ser. – 2006. – V.10. – P. 9–111.
7. Rudin W. Real and complex analysis, – McGraw-Hill, New York, 1970.
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| Pages |
50-59 |
| Volume |
35 |
| Issue |
1 |
| Year |
2011 |
Journal |
Matematychni Studii |
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