A Montel Type Result for Subharmonic Functions
R. Supper (2009)
Bollettino dell'Unione Matematica Italiana
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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)\leq A_{r}, \forall n\in\mathbf{N}. The paper investigates under which conditions one may extract a pointwise or uniformly convergent subsequence.