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

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DOI

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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     title = {Restricted {Radon} {Transforms} and {Projections} of {Planar} {Sets}},
     journal = {Canadian mathematical bulletin},
     pages = {815--820},
     year = {2012},
     volume = {55},
     number = {4},
     doi = {10.4153/CMB-2011-064-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-064-6/}
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