| 拟共形映射正规族 |
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| 引用本文： | 李有才. 拟共形映射正规族[J]. 贵州师范大学学报(自然科学版), 1995, 13(1): 6-12 |
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| 作者姓名： | 李有才 |
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| 作者单位： | 贵州师大数学系 |
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| 摘 要： | 关于平面区域ＤＣ上的Ｋ－拟共形映射族ｋ（Ｄ），ＬｅｈｔｏａｎｄＶｉｒｔａｎｅｎ已证明［１］：若（Ｄ）在Ｄ上等度连续，则Ｋ（Ｄ）是正规族。本文给出了Ｋ（Ｄ）是正规族的另一个充分条件：Ｋ（Ｄ）在Ｄ上局部一致有界。
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| 关 键 词： | 拟共形映射 正规族 局部一致有界 |
NORMAL FAMILIES FOR QUASICONFORMAL MAPPINGS |
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| Li Youcai. NORMAL FAMILIES FOR QUASICONFORMAL MAPPINGS[J]. Journal of Guizhou Normal University(Natural Sciences), 1995, 13(1): 6-12 |
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| Authors: | Li Youcai |
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| Abstract: | Let(D)be a family of K quasiconformal mappings on domain DC.Lehto and Virtanen have Proved the family(D)is normal if the(D)is equicontinuous on domain D.In this paper we prove that the family(D)is normal if the(D)is locally uniform boun-ded in D,it follows at once the family(D)is normal and only if(D)is locally uniform bounded in D. |
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| Keywords: | Quasiconformal mapping Normal families |
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