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
Keywords: Projections, Lipschitz graphs, big pieces of sets, uniform rectifiability 
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     author = {Henri Martikainen and Tuomas Orponen},
     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

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