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1. CMB 2011 (vol 55 pp. 815)
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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 |