Geodesic
A Montel Type Result for Subharmonic Functions
Bollettino della Unione matematica italiana, Série 9, Tome 2 (2009) no. 2, pp. 423-444.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

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. 
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Supper, R. A Montel Type Result for Subharmonic Functions. Bollettino della Unione matematica italiana, Série 9, Tome 2 (2009) no. 2, pp. 423-444. http://geodesic.mathdoc.fr/item/BUMI_2009_9_2_2_a7/

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