Characterising the big pieces of Lipschitz graphs property using projections

  • Henri Martikainen

    University of Helsinki, Finland
  • Tuomas Orponen

    University of Helsinki, Finland

Abstract

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. 1055–1073

DOI 10.4171/JEMS/782