- 期刊
SOME PROPERTIES AND CHARACTERIZATIONS OF A-NORMAL FUNCTIONS
摘要
Let M be the set of all functions meromorphic on D = {z ∈ C: |z| ＜ 1}. For a ∈ (0,1], a function f ∈ M is called a-normal function of bounded (vanishing) type or f ∈ N^a (N_0^a), if sup_(z∈D) (1-|z|)^af#(z)＜∞ (lim_(|z|→1) (1-|z|)^af# (z) = 0). In this paper we not only show the discontinuity of Na and N0a relative to containment as a varies, which shows ∪_(0＜a＜1) N^a ⊂ UBC_0, but also give several characterizations of N^a and N_0^a which are real extensions for characterizations of N and N_0.
延伸閱讀
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