Reflectionless measures and the Mattila-Melnikov-Verdera uniform rectifiability theorem

2013/07/03 by Jaye, Benjamin, Nazarov, Fedor
#Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1307.1156

Abstract

A new proof is given of the Mattila-Melnikov-Verdera theorem on the uniform rectifiability of an Ahlfors-David regular measure whose associated Cauchy transform operator is bounded.

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