Quasi-Lipschitz equivalence of quasi Ahlfors-David regular sets
Quasi-Lipschitz equivalence of quasi Ahlfors-David regular sets作者机构:School of Computer Science and Information Technology Zhejiang Wanli University Ningbo 315100 China Institute of Mathematics Zhejiang Wanli University Ningbo 315100 China
出 版 物:《Science China Mathematics》 (中国科学:数学(英文版))
年 卷 期:2011年第54卷第12期
页 面:2573-2582页
核心收录:
学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 0712[理学-科学技术史(分学科,可授理学、工学、农学、医学学位)]
基 金:supported by the Program for New Century Excellent Talents in University of China National Natural Science Foundation of China (Grant No. 11071224)
主 题:fractal quasi-Lipschitz equivalence Ahlfors-David regularity
摘 要:Suppose compact sets E and F are quasi uniformly disconnected and quasi Ahlfors-David *** paper proves that E and F are quasi-Lipschitz equivalent if and only if they have the same Hausdorff dimension.