A Montel Type Result for Subharmonic Functions
Bollettino dell'Unione Matematica Italiana (2009)
- Volume: 2, Issue: 2, page 423-444
- ISSN: 0392-4041
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topSupper, R.. "A Montel Type Result for Subharmonic Functions." Bollettino dell'Unione Matematica Italiana 2.2 (2009): 423-444. <http://eudml.org/doc/290583>.
@article{Supper2009,
abstract = {This article is devoted to sequences $(u_\{n\})_\{n\}$ of subharmonic functions in $\mathbb\{R\}^\{N\}$, with finite order, whose means $J_\{u_\{n\}\}(r)$ (over spheres centered at the origin, with radius r) satisfy such a condition as: $\forall r > 0$, $\exists A_\{r\} > 0$ such that $J_\{u_\{n\}\}(r) \le A_\{r\}$, $\forall n \in \mathbf\{N\}$. The paper investigates under which conditions one may extract a pointwise or uniformly convergent subsequence.},
author = {Supper, R.},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {423-444},
publisher = {Unione Matematica Italiana},
title = {A Montel Type Result for Subharmonic Functions},
url = {http://eudml.org/doc/290583},
volume = {2},
year = {2009},
}
TY - JOUR
AU - Supper, R.
TI - A Montel Type Result for Subharmonic Functions
JO - Bollettino dell'Unione Matematica Italiana
DA - 2009/6//
PB - Unione Matematica Italiana
VL - 2
IS - 2
SP - 423
EP - 444
AB - This article is devoted to sequences $(u_{n})_{n}$ of subharmonic functions in $\mathbb{R}^{N}$, with finite order, whose means $J_{u_{n}}(r)$ (over spheres centered at the origin, with radius r) satisfy such a condition as: $\forall r > 0$, $\exists A_{r} > 0$ such that $J_{u_{n}}(r) \le A_{r}$, $\forall n \in \mathbf{N}$. The paper investigates under which conditions one may extract a pointwise or uniformly convergent subsequence.
LA - eng
UR - http://eudml.org/doc/290583
ER -
References
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