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1. CMB 2011 (vol 55 pp. 815)

Oberlin, Daniel M.
 Restricted Radon Transforms and Projections of Planar Sets 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. Categories:44A12, 28A78