On the projections of almost Ahlfors regular sets

2024/11/07 by Orponen, Tuomas, Ren, Kevin
#28A78 #28A80 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2411.04528

Abstract

We show that the "sharp Kaufman projection theorem" from 2023 is sharp in the class of Ahlfors (1,δ^-ε)-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.

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