On the parametrization of self-similar and other fractal sets

被引：8
|
作者：
Martín, MA [1 ]
Mattila, P
机构：
[1] Univ Politecn Madrid, ETSI Agron, Dept Matemat Aplicada, E-28040 Madrid, Spain
[2] Univ Jyvaskyla, Dept Math, FIN-40351 Jyvaskyla, Finland
[3] Ctr Recerca Matemat, Barcelona, Spain
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 09期
关键词：
D O I：
10.1090/S0002-9939-00-05354-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove for many self-similar, and some more general, sets E subset of R-n that if s is the Hausdorff dimension of E and f : R-m --> R-n is Holder continuous with exponent m/s, then the s-dimensional Hausdorff measure of E boolean AND f(R-m) is 0.
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页码：2641 / 2648
页数：8
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