학술논문

Quasi-Lipschitz equivalence of subsets of Ahlfors-David regular sets.
Document Type
Journal
Author
Guo, Qiuli (PRC-ZWU-IM) AMS Author Profile; Li, Hao (PRC-ZWU-IM) AMS Author Profile; Wang, Qin (PRC-ZWU-SCT) AMS Author Profile
Source
Annales Academiæ Scientiarum Fennicæ. Mathematica (Ann. Acad. Sci. Fenn. Math.) (20140101), 39, no. 2, 759-769. ISSN: 1239-629X (print).eISSN: 1798-2383.
Subject
28 Measure and integration -- 28A Classical measure theory
  28A80 Fractals
Language
English
Abstract
Summary: ``In the paper, it is proved that for any Ahlfors-David $s$-regularsets $E$ and $F$ in Euclidean spaces, there exist subsets $E'\subset E$and $F'\subset F$ such that $\dim_HE'=\dim_HF'=s$ and$E', F' $ are quasi-Lipschitz equivalent.''