On the projections of almost Ahlfors regular sets

Abstract

We show that the "sharp Kaufman projection theorem" from 2023 is sharp in the class of Ahlfors $(1,{\delta }^{-\epsilon })$-regular sets. This is in contrast with a recent result of the first author, which improves the projection theorem in the class of Ahlfors $(1,C)$-regular sets.

11 pages, 2 figures