Lipschitz equivalence of subsets of self-conformal sets

Abstract

We give sufficient conditions to guarantee that if two self-conformal sets E and F have Lipschitz equivalent subsets of positive measure, then there is a bilipschitz map of E into, or onto, F.

Cited by in corpus (2)

• Lipschitz equivalence of self-similar sets and hyperbolic boundaries
• Lipschitz equivalence of Cantor sets and irreducibility of polynomials