分担超平面的全纯曲线族的正规定则
Normal Criteria Concerning Shared Hyperplanes for Families of Holomorphic Curves

本文利用值分布理论和正规族理论等相关知识，研究了全纯曲线族分担处于次一般位置的超平面的正规定则。设？是一族从区域D？？到？3(？)的全纯曲线，Hl={x∈P3(C):？x,αl？=0}≠H0是？3(？)中k个处于t次一般位置的超平面，其中αl=(αl0,αl1,αl2,αl3)T，l=1,2,？,k，H0={x0=0}，t≥3，k=min{p:2t1≤p≤3t1,[p？t3]≤(p？2t？1)}。如果对任意的f∈？，满足：f(z)∈Hl当且仅当？f(z)∈Hl；若f(z)∈∪t=1kHl，那么|？f(z),H0？|||f(z)|？|H0||≥δ，其中0<δ<1是一个常数，则？在D上正规。
Based on value distribution theory and normal family theory, the normality of hyperplanes in sub-general position shared by holomorphic curve families is considered. Let？be a family of holomorphic maps of a domainD？？to？3(？). LetHl={x∈P3(C):？x,αl？=0}≠H0be hyperplanes in？3(？)located in general position, whereαl=(αl0,αl1,αl2,αl3)T,l=1,2,？,k,H0={x0=0},k=min{p:2t1≤p≤3t1,[p？t3]≤(p？2t？1)}. Assume the following conditions hold for everyf∈？: if and only iff(z)∈Hl, then？f(z)∈Hl; Iff(z)∈∪t=1kHl, then|？f(z),H0？|||f(z)|？|H0||≥δ, where0<δ<1is a constant. Then？is normal on D.