arXiv 1111.08442011-11-03math.CV

Differential Inequalities, Normality and Quasi-Normality

Xiaojun Liu, Shahar Nevo, Xuecheng Pang

英文摘要：

We prove that if D is a domain in C, alpha>1 and c>0, then the family F of functions meromorphic in D such that |f'(z)|/(1+|f(z)|^alpha)>c for every z in D is normalin D. For alpha=1, the same assumptions imply quasi-normality but not necessarily normality.

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