Geodesic
Restricted Radon Transforms and Projections of Planar Sets
Canadian mathematical bulletin, Tome 55 (2012) no. 4, pp. 815-820

Voir la notice de l'article provenant de la source Cambridge University Press

We establish a mixed norm estimate for the Radon transform in ${{\mathbb{R}}^{2}}$ when the set of directions has fractional dimension. This estimate is used to prove a result about an exceptional set of directions connected with projections of planar sets. That leads to a conjecture analogous to a well-known conjecture of Furstenberg.
DOI : 10.4153/CMB-2011-064-6
Mots-clés : 44A12, 28A78 
Oberlin, Daniel M. Restricted Radon Transforms and Projections of Planar Sets. Canadian mathematical bulletin, Tome 55 (2012) no. 4, pp. 815-820. doi: 10.4153/CMB-2011-064-6
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