A note on restricted X-ray transforms

Details A note on restricted X-ray transforms A note on restricted X-ray transforms

2007-12-20

arxiv.org/abs/0712.3477v1

Mathematics

Classical Analysis and ODEs

11 pages

Scientific paper

We show how the techniques introduces by Christ can be employed to derive
endpoint $L^p-L^q$ bounds for the X-ray transform associated to the line
complex generated by the curve $t\to(t,t^2,...,t^{d-1}).$ Almost-sharp Lorentz
space estimates are produced as well.

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