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arXiv · 0805.1678

Restricted Radon transforms and projections of planar sets

Daniel M. Oberlin
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Abstract

We establish a mixed norm estimate for the Radon transform in the plane 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.

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Daniel M. Oberlin. 2008-05-12. Restricted Radon transforms and projections of planar sets. https://doi.org/10.4153/cmb-2011-064-6

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