Restricted Radon transforms and projections of planar sets

Details Restricted Radon transforms and projections of planar sets Restricted Radon transforms and projections of planar sets

2008-05-12

arxiv.org/abs/0805.1678v1

Mathematics

Classical Analysis and ODEs

6 pages

Scientific paper

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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