Big-Pieces-of-Lipschitz-Images Implies a Sufficient Carleson Estimate in a Metric Space
arXiv:0706.2517
Abstract
This note is intended to be a supplement to the bi-Lipschitz decomposition of Lipschitz maps shown in [Sch]. We show that in the case of 1-Ahlfors-regular sets, the condition of having `Big Pieces of bi-Lipschitz Images' (BPBI) is equivalent to a Carleson condition.
4 pages. No figures. Assumes familiarity with previous work