English

Lipschitz equivalence of subsets of self-conformal sets

Metric Geometry 2015-05-14 v1

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.

Keywords

Cite

@article{arxiv.0909.1928,
  title  = {Lipschitz equivalence of subsets of self-conformal sets},
  author = {Marta Llorente and Pertti Mattila},
  journal= {arXiv preprint arXiv:0909.1928},
  year   = {2015}
}