QUASICONFORMAL MAPPINGS WHICH INCREASE DIMENSION

QUASICONFORMAL MAPPINGS WHICH INCREASE DIMENSION
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发表时间:
1999
期刊:
影响因子:
17.1
通讯作者:
C. Bishop
C. Bishop
中科院分区:
材料科学1区
文献类型:
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作者:
C. Bishop

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对于任何紧集E Rd,d ≥ 1,Hausdorff维度为0 0,存在Rd到其自身的拟共形映射(如果d =1,则拟对称)f,使得dim(f(E))>d-e。
For any compact set E ⊂ R d , d ≥ 1 , with Hausdorff dimension 0 0 , there is a quasiconformal mapping (quasisymmetric if d =1 )f of R d to itself such that dim(f(E)) >d − e .