QUASI-LIPSCHITZ EQUIVALENCE OF SUBSETSOF AHLFORS-DAVID REGULAR SETS

摘要

In the paper, it is proved that for any Ahlfors-David s-regular sets Eand F in Euclidean spaces, there exist subsets E' subset E and F' subset F such that dimHE' =dimHF' = sand E', F' are quasi-Lipschitz equivalent.