＜正＞ Let f（z） be meromorphie in |z|＜R（0＜R≤∞）and k,τ be two positive integers suchthat τ＞k+4+[2/k].In this note,a fundamental inequality is established such that thecharacreristic function T（r,f）can be limibd by N（r,1/f）and τ-1(r,1/(fk-1).As anapplication,the following criterion for normality is also proved:Let be a family ofmeromorphic functions in a region D.If for every f（z）∈ ,f（z）≠0 and all the zeros offk（z）-1 are of multiplicity ＞k+4+[2/k]in D,then is normal there.
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