Geodesic
Characterising the big pieces of Lipschitz graphs property using projections
Journal of the European Mathematical Society, Tome 20 (2018) no. 5, pp. 1055-1073.

Voir la notice de l'article provenant de la source EMS Press

We characterise the big pieces of Lipschitz graphs property in terms of projections. Roughly speaking, we prove that if a large subset of an n-Ahlfors–David regular set E⊂Rd has plenty of projections in L2, then a large part of E is contained in a single Lipschitz graph. This is closely related to a question of G. David and S. Semmes.
DOI : 10.4171/jems/782
Classification : 28-XX
Mots-clés : Projections, Lipschitz graphs, big pieces of sets, uniform rectifiability 
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     title = {Characterising the big pieces of {Lipschitz} graphs property using projections},
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Henri Martikainen; Tuomas Orponen. Characterising the big pieces of Lipschitz graphs property using projections. Journal of the European Mathematical Society, Tome 20 (2018) no. 5, pp. 1055-1073. doi : 10.4171/jems/782. https://geodesic-test.mathdoc.fr/articles/10.4171/jems/782/

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