拟共形映射和HAUSDORFF维数
Quasiconformal Mappings and Hausdorff Dimension
摘要
讨论了标准Cantor集F的Hausdorff维数dim_H(F)在拟共形映射f下的变化,给出了dim_H(f(F))的准确上下界.
The authors discuss change of Hausdorff dimension dimH（F） for standard Cantor set F under quasiconformal mapping f, and obtain sharp superior and inferior bounds of dimH（f（F） ）.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2008年第1期183-187,共5页
Acta Mathematica Scientia
基金
国家自然科学基金(10471039)
教育部“新世纪优秀人才支持计划”(NCET-04-0783)
浙江省自然科学基金(M103087)
湖南省教育厅项目(07C639)资助
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