We characterise the big pieces of Lipschitz graphs property in terms of projections. Roughly speaking, we prove that if a large subset of an -Ahlfors–David regular set has plenty of projections in , then a large part of is contained in a single Lipschitz graph. This is closely related to a question of G. David and S. Semmes.
Cite this article
Henri Martikainen, Tuomas Orponen, Characterising the big pieces of Lipschitz graphs property using projections. J. Eur. Math. Soc. 20 (2018), no. 5, pp. 1055–1073DOI 10.4171/JEMS/782