Quasiregular mappings and metrics on then-sphere with punctures

Quasiregular mappings and metrics on then-sphere with punctures
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具有穿孔的当时球体上的拟正则映射和度量

DOI:
10.1007/bf02566341
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发表时间:
1984
影响因子:
0.9
通讯作者:
S. Rickman
S. Rickman
中科院分区:
数学2区
文献类型:
--
作者:
S. Rickman

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设D为欧几里德n空间R n 中的域,f:D--~ R"连续。如果f属于局部Sobolev空间1 W, ao~(D),则称f拟正则,即f具有局部L"可积的广义一阶偏导数,并且存在K, 1<--K<~,使得畸变不等式
Let D be a domain in the Euclidean n-space R n and f: D--~ R" continuous. We call f quasiregular if f belongs to the local Sobolev space 1 W, ao~(D), ie f has generalized first order partial derivatives which are locally L"-integrable and there exists K, 1<--K<~, such that the distortion inequality