Universality vs. non-normality of families of meromorphic functions,Proceedings of the American Mathematical Society

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Universality vs. non-normality of families of meromorphic functions
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2020-12-16 , DOI: 10.1090/proc/15237
L. Bernal-González , A. Jung , J. Müller

Abstract:For a family $\mathcal {F}=\{f_n:n\in \mathbb{N}\}$ of meromorphic functions on an open set $\Omega \subset \mathbb{C}$ , we will establish several connections between the property that $\mathcal {F}$ is a universal family, i.e., that restrictions of $\mathcal {F}$ to suitable subsets of $\Omega$ are dense families in the corresponding function spaces, and the property that $\mathcal {F}$ is a non-normal family.

中文翻译：

亚纯函数族的普遍性与非正规性

摘要：对于一个家庭在一个开放的一组亚纯函数，我们将建立物业之间的多个连接，是一个普遍的家庭，即限制到合适的子集，以及该属性在相应的功能空间密集的家庭，是非正常家庭。 $\ mathcal {F} = \ {f_n：n \ in \ mathbb {N} \}$ $\ Omega \ subset \ mathbb {C}$ $\ mathcal {F}$ $\ mathcal {F}$ $\ Omega$ $\ mathcal {F}$

更新日期：2021-01-11

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