Weak Quasicircles Have Lipschitz Dimension 1

Abstract

We prove that the Lipschitz dimension of any bounded turning Jordan circle or arc is equal to 1. In particular, the Lipschitz dimension of any weak quasicircle or arc is equal to 1.

15 pages. This version revised for clarity, brevity, and to fix a mistake in the original proof of Lemma 4.2