标题：Some properties and characterizations of <mml:math alttext="$A$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>A</mml:mi></mml:math>-normal functions
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1997
卷号：20
DOI：10.1155/S0161171297000689
出版社：Hindawi Publishing Corporation
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∈Na(N0a), if supz∈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<1Na⊂UBC0, but also give several characterizations of Na and N0a which are real
extensions for characterizations of N and N0.
